Properties of the Number 85492

Eighty-Five Thousand Four Hundred Ninety-Two

Basics

Value: 85491 → 85492 → 85493

Parity: even

Prime: No

Previous Prime: 85487

Next Prime: 85513

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11 × 29 × 67

Divisors: 1, 2, 4, 11, 22, 29, 44, 58, 67, 116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100110111110100

Octal: 246764

Duodecimal: 41584

Hexadecimal: 14df4

Square: 7308882064

Square Root: 292.39015031289955

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) is the number of n X k 0..n·k-1 arrays with upper left zero and lower right n·k-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two. A265635

Irregular triangle T(n, k) = [x^k]( p(n, x) ), where p(n, x) = (1/x)*(1-x)ⁿ*(1+x)ⁿ⁺²*( ∑_{j >= 0} jⁿ⁺¹*x^j ), read by rows. A165891

a(n) = ∑_k=1..n binomial(n-1, k-1)*A008292(n, k) for n >= 1. A104098

Number of nX4 0..n·4-1 arrays with upper left zero and lower right n·4-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two. A265633

Number of 3Xn 0..3·n-1 arrays with upper left zero and lower right 3·n-1 and each element differing from its horizontal, diagonal and antidiagonal neighbors by a power of two. A265637

Numbers n having no partition into distinct divisors of n+1. A85492