Properties of the Number 57012

Fifty-Seven Thousand Twelve

Basics

Value: 57011 → 57012 → 57013

Parity: even

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 4751

Divisors: 1, 2, 3, 4, 6, 12, 4751, 9502, 14253, 19004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111010110100

Octal: 157264

Duodecimal: 28BB0

Hexadecimal: deb4

Square: 3250368144

Square Root: 238.7718576382066

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

Number of 8's in all partitions of n. A24792

Number of rules of a context-free grammar in Chomsky normal form that generates all permutations of n symbols. A90326

Unitary anti-perfect numbers. A240968

Number of conjugacy classes of subgroups of index 6 in free group of rank n. A57012

Hilltop maps: number of n X 4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..2 n X 4 array. A218202

A symmetrical triangle sequence:q=3;c(n,q)=Product[1 - qⁱ, {i, 1, n}];t(n,m,q)=-Eulerian[n + 1, m] + 2·c(n, q)/(c(m, q)*c(n - m, q)). A176428