Properties of the Number 57912

Fifty-Seven Thousand Nine Hundred Twelve

Basics

Value: 57911 → 57912 → 57913

Parity: even

Prime: No

Previous Prime: 57901

Next Prime: 57917

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 19 × 127

Divisors: 1, 2, 3, 4, 6, 8, 12, 19, 24, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 1110001000111000

Octal: 161070

Duodecimal: 29620

Hexadecimal: e238

Square: 3353799744

Square Root: 240.64912216752424

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

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234233

Number of permutations p of [2·n] satisfying ∑_i=1..2·n (p(i)-i)² = 2·n. A391664

Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234229

Number of length n+3 0..7 arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms. A249706

Number of length 5+3 0..n arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms. A249711

T(n,k)=Number of length n+3 0..k arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms. A249707

Numbers k such that 3·2^k - 5 is prime. A57912