Properties of the Number 85264

Eighty-Five Thousand Two Hundred Sixty-Four

Basics

Value: 85263 → 85264 → 85265

Parity: even

Prime: No

Previous Prime: 85259

Next Prime: 85297

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 73 ²

Divisors: 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110100010000

Octal: 246420

Duodecimal: 41414

Hexadecimal: 14d10

Square: 7269949696

Square Root: 292

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

Squares whose arithmetic mean of digits is an integer (i.e., the sum of digits is a multiple of the number of digits). A69711

a(n) = (11·n + 6)². A17462

Palindromic squares in base 12. A29738

Squares with initial digit '8'. A45792

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230977

Squares which can be expressed as the product of a number and its reversal. A325148

Number of diagonal rectangles with corners on an n X n grid of points. A113751

Squares of palindromes. A14186

Squares which can be expressed as the product of a number and its reverse in exactly one way. A325149

Perfect squares which can be written in all the four forms a²+b², a²+2·b², a²+3·b² and a²+7·b², with a > 0 and b > 0. A216682