57901 (number)
57,901 (fiftyseven thousand nine hundred one) is an odd fivedigits prime number following 57900 and preceding 57902. In scientific notation, it is written as 5.7901 × 10^{4}. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 57,900 positive integers (up to 57901) that are relatively prime to 57901.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 22
 Digital Root 4
Name
Short name  57 thousand 901 

Full name  fiftyseven thousand nine hundred one 
Notation
Scientific notation  5.7901 × 10^{4} 

Engineering notation  57.901 × 10^{3} 
Prime Factorization of 57901
Prime Factorization 57901
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  57901  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.966489934569  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 57,901 is 57901. Since it has a total of 1 prime factor, 57,901 is a prime number.
Divisors of 57901
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  57902  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  28951  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  240.62626623043  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999654588788  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 57,901 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 57,901) is 57,902, the average is 28,951.
Other Arithmetic Functions (n = 57901)
φ(n)  Euler Totient  57900  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  57900  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5853  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 57,900 positive integers (less than 57,901) that are coprime with 57,901. And there are approximately 5,853 prime numbers less than or equal to 57,901.
Divisibility of 57901
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  4  5  4 
57,901 is not divisible by any number less than or equal to 9.
Classification of 57901
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (57901)
Base  System  Value 

2  Binary  1110001000101101 
3  Ternary  2221102111 
4  Quaternary  32020231 
5  Quinary  3323101 
6  Senary  1124021 
8  Octal  161055 
10  Decimal  57901 
12  Duodecimal  29611 
16  Hexadecimal  e22d 
20  Vigesimal  74f1 
36  Base36  18od 
Basic calculations (n = 57901)
Multiplication
n×yn×2  115802 

n×3  173703 
n×4  231604 
n×5  289505 
Division
n÷yn÷2  28950.500 

n÷3  19300.333 
n÷4  14475.250 
n÷5  11580.200 
Exponentiation
n^{y}n^{2}  3352525801 

n^{3}  194114596403701 
n^{4}  11239429246370691601 
n^{5}  650774192794109414389501 
Nth Root
^{y}√n^{2}√n  240.62626623043 

^{3}√n  38.686729910212 
^{4}√n  15.512132871737 
^{5}√n  8.9647299769821 
57901 as geometric shapes
Circle
Radius = nDiameter  115802 

Circumference  363802.71247101 
Area  10532270427.392 
Sphere
Radius = nVolume  8.1310532002189E+14 

Surface area  42129081709.567 
Circumference  363802.71247101 
Square
Length = nPerimeter  231604 

Area  3352525801 
Diagonal  81884.379474965 
Cube
Length = nSurface area  20115154806 

Volume  194114596403701 
Space diagonal  100287.47380905 
Equilateral Triangle
Length = nPerimeter  173703 

Area  1451686255.2544 
Altitude  50143.736904523 
Triangular Pyramid
Length = nSurface area  5806745021.0175 

Volume  22876624574058 
Height  47275.968532296 
Cryptographic Hash Functions
md5  776c7381475a9867d4376e4b37cefb34 

sha1  ca01724b76e8dbbeeec3afce35a946a894cbaf62 
sha256  4a10860a962abf634accc8c39913a7806d1a6a29ef92f7590bcc048d04daf78c 
sha512  45e96314b1b0d9ee70de367689f0408b05de69f35f6223a3f262292c047919bcc066522b23ad48f66f8cb69f96cb6829085efc5fa14ba5730aee81ce63f47577 
ripemd160  e69471ccf66c6b58db0d47b790c9891e21142d02 