Properties of the Number 58688

Fifty-Eight Thousand Six Hundred Eighty-Eight

Basics

Value: 58687 → 58688 → 58689

Parity: even

Prime: No

Previous Prime: 58687

Next Prime: 58693

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 7 × 131

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110010101000000

Octal: 162500

Duodecimal: 29B68

Hexadecimal: e540

Square: 3444281344

Square Root: 242.25606287562752

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

Coordination sequence for 4-dimensional cubic lattice (points on surface of 4-dimensional cross-polytope). A8412

Coordination sequence for C₄ lattice. A19560

Dirichlet inverse of right-shifted Catalan numbers [as when started from A000108(0): 1, 1, 2, 5, 14, 42, etc.]. A349450

Number of prime binary rooted trees with n external nodes. A35010

Number of (n+1) X (6+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235296

Number of (n+1) X (7+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235297

Incorrect version of A035010. A19275

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235301

McKay-Thompson series of class 46A for the Monster group. A58688

Number of self-inverse permutations p on [n] where the maximal displacement of an element equals 6. A238917