Properties of the Number 38768

Thirty-Eight Thousand Seven Hundred Sixty-Eight

Basics

Value: 38767 → 38768 → 38769

Parity: even

Prime: No

Previous Prime: 38767

Next Prime: 38783

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 2423

Divisors: 1, 2, 4, 8, 16, 2423, 4846, 9692, 19384, 38768

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001011101110000

Octal: 113560

Duodecimal: 1A528

Hexadecimal: 9770

Square: 1502957824

Square Root: 196.8959115878235

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

Expansion of ∏_k>=1 1/(1-x^3·k-2)^k. A262877

McKay-Thompson series of class 27b for the Monster group. A58601

Irregular triangle, T(n, k) = coefficients of p(x, n), where p(x, n) = (1-2·x)ⁿ⁺¹ * ∑_j>=0 jⁿ*(x/(1-x))^j, read by rows. A142073

Number of (n+1) X 6 0..1 arrays with the number of rightwards and downwards edge increases in each 2 X 2 subblock equal to the number in all its horizontal and vertical neighbors. A206264

Number of arrays of median of three adjacent elements of some length n+2 0..5 array, with no adjacent equal elements in the latter. A229009

Number of arrays of median of three adjacent elements of some length 9 0..n array, with no adjacent equal elements in the latter. A229017

T(n,k) = number of arrays of median of three adjacent elements of some length n+2 0..k array, with no adjacent equal elements in the latter. A229012

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors. A206267

Primes of the form A002110(k) + prime(k+1)². A38768