Properties of the Number 45628

Forty-Five Thousand Six Hundred Twenty-Eight

Basics

Value: 45627 → 45628 → 45629

Parity: even

Prime: No

Previous Prime: 45613

Next Prime: 45631

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 17 × 61

Divisors: 1, 2, 4, 11, 17, 22, 34, 44, 61, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001000111100

Octal: 131074

Duodecimal: 224A4

Hexadecimal: b23c

Square: 2081914384

Square Root: 213.607115986336

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,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k. A191714

Symmetric difference of the primitive non-deficient numbers and the primitive Zumkeller numbers. A378538

a(n) has generating function 1/((1-x)^k*(1-x²)^k*(k-1/2)) for k=5. A181477

Numbers that are primitive Zumkeller, but not primitive non-deficient. A378657

Brady numbers: B(n) = B(n - 1) + B(n - 2) with B(1) = 2308 and B(2) = 4261. A247698

Number of semistandard Young tableaux over all partitions of 10 with maximal element <= n. A210432

Number of 2n-bead black-white reversible necklaces with n black beads and fundamental period 2n. A45628

Number of (n+1)X(n+1) -7..7 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values. A211445