Properties of the Number 57672

Fifty-Seven Thousand Six Hundred Seventy-Two

Basics

Value: 57671 → 57672 → 57673

Parity: even

Prime: No

Previous Prime: 57667

Next Prime: 57679

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 89

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000101001000

Octal: 160510

Duodecimal: 29460

Hexadecimal: e148

Square: 3326059584

Square Root: 240.14995315427402

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

The number of tilings of an equilateral triangle of side length n with k lozenges and n² - 2·k unit triangles. Triangle T(n, k) with n >= 1 and 0 <= k <= n*(n + 1)/2, read by rows. A273464

Convolution of Bell numbers with themselves. A14322

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of k-th power of continued fraction 1/(1 - x - x²/(1 - 2·x - 2·x²/(1 - 3·x - 3·x²/(1 - 4·x - 4·x²/(1 - ...))))). A292870

Numbers k such that the powerful part of the sum of divisors of k (A387726) is greater than or equal to k, and σ(k) is not itself a powerful number. A387729

Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1. A71863

The Wiener index of the Dutch windmill graph D(6,n) (n>=1). A180578

a(n) equals floor(As(n) - Ac(n)), where As(n) is the area of the square with side length n and Ac(n) is the area of the circle of diameter n. A57672