Properties of the Number 78819

Seventy-Eight Thousand Eight Hundred Nineteen

Basics

Value: 78818 → 78819 → 78820

Parity: odd

Prime: No

Previous Prime: 78809

Next Prime: 78823

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 43 × 47

Divisors: 1, 3, 13, 39, 43, 47, 129, 141, 559, 611

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001111100011

Octal: 231743

Duodecimal: 39743

Hexadecimal: 133e3

Square: 6212434761

Square Root: 280.7472172613649

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 T(n,k) of colored compositions of n using all colors of a k-set such that all parts have different color patterns and the patterns for parts i are sorted and have i colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A327244

Near 2-hyperperfect numbers: numbers k such that σ(k) - 3·k/2 - 1/2 is a proper divisor of k. A305616

Number of colored compositions of 2n using all colors of an n-set such that all parts have different color patterns and the patterns for parts i are sorted and have i colors in (weakly) increasing order. A327596

a(n) = n * (n + 4) * (n + 8). A370914

A first order iteration: n-th term is obtained from (n-1)-th by adding n-th prime and then multiplying by the n-th prime; initial value is 0. A98205

Number of strings of numbers x(i=1..6) in 0..n with sum i⁴*x(i) equal to 1296·n. A184352

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1110-0111-0001 pattern in any orientation. A147401

a(n) = 140·C(2n,n)/(n+4). A78819