Properties of the Number 82440

Eighty-Two Thousand Four Hundred Forty

Basics

Value: 82439 → 82440 → 82441

Parity: even

Prime: No

Previous Prime: 82421

Next Prime: 82457

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 229

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100001000001000

Octal: 241010

Duodecimal: 3B860

Hexadecimal: 14208

Square: 6796353600

Square Root: 287.12366673612956

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

Place n equally spaced points on each side of an equilateral triangle, and join each of these points by a chord to the 2·n new points on the other two sides: sequence gives number of interior vertices in the resulting planar graph. A366484

Number of ways to write n as an ordered sum of eight positive Fibonacci numbers (with a single type of 1). A357716

Number of polyhedra formed when an n-bipyramid, formed from two n-gonal pyraminds joined at the base, is internally cut by all the planes defined by any three of its vertices. A338809

Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than 7. A204212

Number of length 7 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than n. A204215

T(n,k) = Number of length n+k 0..1 arrays with at most two downsteps in every k consecutive neighbor pairs. A256816

T(n,k) = Number of length n+1 nonnegative integer arrays starting and ending with 0 with adjacent elements differing by no more than k. A204213

Decimal expansion of the volume of an elongated pentagonal orthobicupola with unit edge. A384909

Palindromic primes with middle digit 4. A82440

Array read by antidiagonals: Costs E[m,N] of m-ary Huffman trees of maximum height with N internal nodes (non-leaves) for minimizing absolutely ordered sequences of size n=2N+1; m > 1, N > 0. A98810