Properties of the Number 49782

Forty-Nine Thousand Seven Hundred Eighty-Two

Basics

Value: 49781 → 49782 → 49783

Parity: even

Prime: No

Previous Prime: 49757

Next Prime: 49783

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 8297

Divisors: 1, 2, 3, 6, 8297, 16594, 24891, 49782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001001110110

Octal: 141166

Duodecimal: 24986

Hexadecimal: c276

Square: 2478247524

Square Root: 223.118802434936

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

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252605

a(n) = floor(1/(ζ(4) - ∑_h=1..n 1/h⁴)). A248230

Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 4. A245144

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n)², where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296247

Nearest integer to 1/(∑_k>=n 1/k⁴). A83559

Number of (n+2)X(2+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252599

Number of (n+2)X(6+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 2 or 5. A252603

a(n) = (0! + 1! + ... + (n-1)!) mod n. A49782