Properties of the Number 5648

Five Thousand Six Hundred Forty-Eight

Basics

Value: 5647 → 5648 → 5649

Parity: even

Prime: No

Previous Prime: 5647

Next Prime: 5651

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 353

Divisors: 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000010000

Octal: 13020

Duodecimal: 3328

Hexadecimal: 1610

Square: 31899904

Square Root: 75.15317691222374

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

Numbers n such that Bernoulli number B_n has denominator 510. A271634

Number of distinct non-subset-sums of integer partitions of n. A365918

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

a(n) = n*(11·n+1)/2. A22269

T(n,k)=Number of nXk 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224133

G.f. satisfies A(x) = 1 + x/A(x)*(1 + 1/A(x)²). A364395

Numbers k such that k⁴ can be written as a sum of four distinct positive 4th powers. A96739

Number of binary rooted trees with n nodes and internal path length n. A108643

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood. A272560

Number of distinct board states reachable in n jumps, in English Peg Solitaire. A335656