Properties of the Number 57828

Fifty-Seven Thousand Eight Hundred Twenty-Eight

Basics

Value: 57827 → 57828 → 57829

Parity: even

Prime: No

Previous Prime: 57809

Next Prime: 57829

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 61 × 79

Divisors: 1, 2, 3, 4, 6, 12, 61, 79, 122, 158

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000111100100

Octal: 160744

Duodecimal: 29570

Hexadecimal: e1e4

Square: 3344077584

Square Root: 240.47453087593289

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 Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 6). A212365

First differences of A293230: how many more alive nodes there are in generation n+1 than in generation n in the binary tree of persistently squarefree numbers. A293440

G.f.: ∑_n=-oo..+oo (1 + xⁿ)ⁿ / (1 - xⁿ)ⁿ, ignoring the constant term. A292180

Number of perfect squares, k², where k² <= n and gcd(k,n) = 1. A57828

Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, in the Farey Ring graph FR(n) defined in A359116. A359119