Properties of the Number 78476

Seventy-Eight Thousand Four Hundred Seventy-Six

Basics

Value: 78475 → 78476 → 78477

Parity: even

Prime: No

Previous Prime: 78467

Next Prime: 78479

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 23 × 853

Divisors: 1, 2, 4, 23, 46, 92, 853, 1706, 3412, 19619

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011001010001100

Octal: 231214

Duodecimal: 394B8

Hexadecimal: 1328c

Square: 6158482576

Square Root: 280.13568141170447

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

Total sum of block indices of the elements over all partitions of [n]. A346772

Expansion of g.f.: 4ⁿ*n!*(1-y)ⁿ⁺¹*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = -2. A171694

a(n) = n*(n+1)*(3·n²+5·n+4)/12. A176060

Number of isolated-pentagon fullerenes with 2n vertices (or carbon atoms). A86423

Number of 3 X n 0..1 arrays with rows, diagonals and antidiagonals unimodal and columns nondecreasing. A223839

Number of planar triangular n X n X n nonnegative integer grids symmetric under 120 degree rotation with every similarly oriented 5 X 5 X 5 subtriangle summing to 15. A154093

Time taken to get n people from one side of a bridge to the other where (a) the only flashlight must be carried when crossing; (b) only one or two people may cross at the same time; (c) a pair crosses at the speed of the slowest member; and (d) the k-th person's speed requires k seconds to cross the bridge. A78476