Properties of the Number 47649

Forty-Seven Thousand Six Hundred Forty-Nine

Basics

Value: 47648 → 47649 → 47650

Parity: odd

Prime: No

Previous Prime: 47639

Next Prime: 47653

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 2269

Divisors: 1, 3, 7, 21, 2269, 6807, 15883, 47649

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000100001

Octal: 135041

Duodecimal: 236A9

Hexadecimal: ba21

Square: 2270427201

Square Root: 218.28650897387132

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

First row of spectral array W(sqrt(3)). A22159

Triangle read by rows: T(n,k) number of ways of partitioning the (n+5)-element multiset {1,1,1,1,1,1,2,3,...,n} into exactly k nonempty parts, n >= 0 and 1 <= k <= n + 5. A291120

Odd numbers m for which A379113(m²) > 1, i.e., k = m² has a proper unitary divisor d > 1 such that A048720(A065621(σ(d)),σ(k/d)) is equal to σ(k). A379122

E.g.f. satisfies: A(x) = ∑_n>=0 (n+1)^2·n-1/n! * xⁿ/A(x)ⁿ. A296235

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹¹ in powers of x. A47649