Properties of the Number 65728

Sixty-Five Thousand Seven Hundred Twenty-Eight

Basics

Value: 65727 → 65728 → 65729

Parity: even

Prime: No

Previous Prime: 65719

Next Prime: 65729

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁶ × 13 × 79

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000011000000

Octal: 200300

Duodecimal: 32054

Hexadecimal: 100c0

Square: 4320169984

Square Root: 256.37472574339307

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

Taxi-cab numbers: sums of 2 cubes in more than 1 way. A1235

Numbers that are the sum of 2 cubes in more than 1 way (primitive solutions). A18850

a(n) = n³ + (n+2)³. A153976

Numbers that are the sum of two positive cubes in exactly two ways. A343708

Sum of two (possibly negative) cubes in at least 3 ways. A51383

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 581", based on the 5-celled von Neumann neighborhood. A283134

Sum of two (possibly negative) cubes in at least 3 ways (primitive solutions). A293650

Expansion of g.f.: 2^1+floor(n/2)*n!*((1-y)ⁿ⁺¹/(1+y))*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = 0. A171693

a(n) = 4·n*(4·n² + 3). A271636

Numbers whose 4th power can be expressed as the sum of two positive cubes in more than one way. A51388