Properties of the Number 78057

Seventy-Eight Thousand Fifty-Seven

Basics

Value: 78056 → 78057 → 78058

Parity: odd

Prime: No

Previous Prime: 78049

Next Prime: 78059

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 ² × 59

Divisors: 1, 3, 7, 9, 21, 27, 49, 59, 63, 147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 10011000011101001

Octal: 230351

Duodecimal: 39209

Hexadecimal: 130e9

Square: 6092895249

Square Root: 279.3868286086515

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

Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0. A133251

Expansion of (1+x)/(1-2·x-x²). A78057

G.f. satisfies: A(x) = exp( ∑_n>=1 xⁿ*A(x)ⁿ/n / ∏_k>=1 (1 - x^n·k*A(x^k)ⁿ) ). A219262

Numbers whose divisors can be partitioned into two disjoint sets with equal arithmetic mean in a record number of ways. A348714