Properties of the Number 57008

Fifty-Seven Thousand Eight

Basics

Value: 57007 → 57008 → 57009

Parity: even

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 7 × 509

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111010110000

Octal: 157260

Duodecimal: 28BA8

Hexadecimal: deb0

Square: 3249912064

Square Root: 238.7634812947742

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Floor of the expected value of number of trials until exactly two cells are empty in a random distribution of n balls in n cells. A210113

Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (number of distinct parts of p). A240306

Column 1 of triangle A136470 (scaled): a(n) = A136470(n+1,1)/2ⁿ. A136471

T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. A229578

Number of conjugacy classes of subgroups of index n in free group of rank 5. A57008