Properties of the Number 64768

Sixty-Four Thousand Seven Hundred Sixty-Eight

Basics

Value: 64767 → 64768 → 64769

Parity: even

Prime: No

Previous Prime: 64763

Next Prime: 64781

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁸ × 11 × 23

Divisors: 1, 2, 4, 8, 11, 16, 22, 23, 32, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110100000000

Octal: 176400

Duodecimal: 31594

Hexadecimal: fd00

Square: 4194893824

Square Root: 254.49557952938986

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

a(n) is the smallest nonnegative integer k where exactly n pairs of positive integers (x, y) exist such that x² + 7·y² = k. A374159

Sum of the squares modulo 2ⁿ of the odd numbers less than 2ⁿ. A187468

Expansion of φ(-x⁵) * f(x², x⁸) / ψ(-x)² in powers of·where φ, ψ, f(,) are Ramanujan θ functions. A259392

Binomial transform, alternating in sign, of Lucas generalized numbers S(n): S(n) = S(n-1) + S(n-2) + S(n-3), S(0)=3, S(1)=1, S(2)=3. A73314

a(n) = A027144(2n, n). A27145

a(n) = A027144(n, floor(n/2)). A27150

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 245", based on the 5-celled von Neumann neighborhood. A271005

Sum of primes dividing the repunit numbers with a prime number of digits [A031974] (with repetition). A64768