Properties of the Number 57648

Fifty-Seven Thousand Six Hundred Forty-Eight

Basics

Value: 57647 → 57648 → 57649

Parity: even

Prime: No

Previous Prime: 57641

Next Prime: 57649

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 1201

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000100110000

Octal: 160460

Duodecimal: 29440

Hexadecimal: e130

Square: 3323291904

Square Root: 240.0999791753427

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 T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape T; triangle T(n,k), n>=0, 0<=k<=max(0,floor(2*(n-1)/3)), read by rows. A247707

a(n) = 25·n² + n. A173089

Number of trees in all forests of (unlabeled) rooted identity trees with n vertices. A291532

Row sums of the number triangle A098505. A98506

a(n) = 100·n² + 2·n. A158127

The Wiener index of the zig-zag polyhex nanotube TUHC₆[2n,2] defined pictorially in Fig. 1 of the Eliasi et al. reference. A227703

a(n) = (1/2)A291405(n). A291406

a(n) = T(3n,n), where T = Delannoy triangle (A008288). A26001

Number of excursions of length n on the upper-right part of the hexagonal lattice. A57648