Properties of the Number 78357

Seventy-Eight Thousand Three Hundred Fifty-Seven

Basics

Value: 78356 → 78357 → 78358

Parity: odd

Prime: No

Previous Prime: 78347

Next Prime: 78367

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 26119

Divisors: 1, 3, 26119, 78357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001000010101

Octal: 231025

Duodecimal: 39419

Hexadecimal: 13215

Square: 6139819449

Square Root: 279.92320375417256

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

Triangle read by rows: T(n,k) is the number of permutations of 2 indistinguishable copies of 1..n with exactly k local maxima. A334774

Array read by antidiagonals: T(n,k) is the number of permutations of k indistinguishable copies of 1..n with exactly 2 local maxima. A334773

a(n) = 2·n⁴/3 - 4·n³/3 + 11·n²/6 - 13·n/6 + 1. A345897

Minimal positive solution·of Pell equation y² - A077426(n)*x² = -4. A78357