Properties of the Number 78416

Seventy-Eight Thousand Four Hundred Sixteen

Basics

Value: 78415 → 78416 → 78417

Parity: even

Prime: No

Previous Prime: 78401

Next Prime: 78427

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 13 ² × 29

Divisors: 1, 2, 4, 8, 13, 16, 26, 29, 52, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001001010000

Octal: 231120

Duodecimal: 39468

Hexadecimal: 13250

Square: 6149069056

Square Root: 280.0285699709942

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 series-parallel networks with n labeled edges. Also called yoke-chains by Cayley and MacMahon. A6351

Numbers k that can be expressed as k = w+x = y·z with w·x = (y+z)² where w, x, y, and z are all positive integers. A57369

Partial sums of A080180. A80181

a(n) = 64·n² + 16. A157912

Triangle T(n,k) read by rows: coefficients of polynomials P_n(t) defined in Formula section. A278458

Array read by downward antidiagonals: A(n,k) = A(n,k-1) + (k+1)*(A(n-1,k) + A(n-1,k+1)) with A(n,0) = A(n-1,0) + A(n-1,1), A(0,k) = 1, n >= 0, k >= 0. A379460

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 35. A31713

Triangle of series-parallel numbers. A36654

Array read by downward antidiagonals: A(n,k) = A(n-1,k+1) + 2*(k+1)!*∑_j=0..k A(n-1,j)/j! with A(0,k) = 2*(k+1)!, n >= 0, k >= 0. A379459

Decimal expansion of Viswanath's constant. A78416