Properties of the Number 47450

Forty-Seven Thousand Four Hundred Fifty

Basics

Value: 47449 → 47450 → 47451

Parity: even

Prime: No

Previous Prime: 47441

Next Prime: 47459

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 ² × 13 × 73

Divisors: 1, 2, 5, 10, 13, 25, 26, 50, 65, 73

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100101011010

Octal: 134532

Duodecimal: 23562

Hexadecimal: b95a

Square: 2251502500

Square Root: 217.83020910791964

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) = sigma₆(n), the sum of the 6th powers of the divisors of n. A13954

4-dimensional pyramidal numbers: a(n) = (3·n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n). A1296

a(n) = sigma_n(n): sum of n-th powers of divisors of n. A23887

Number of integer partitions of n containing all prime indices of their parts. A324753

Sum of the cubes of the square divisors of n. A351308

Triangle read by rows, T(n,m) = sigma_n-m(m) for n >= 1, m = 1,2, ..., n. A279394

Sum of the 6th powers of the squarefree divisors of n. A351269

a(n) = n⁶ * ∏_{p∣n, p prime} (1 + 1/p⁶). A351301

Place n equally spaced points around the circumference of a circle and then, for each pair of points, draw two distinct circles, whose radii are the same as the first circle, such that both points lie on their circumferences. The sequence gives the total number of vertices formed. A371373

Square array A(n,k), n>=0, k>=1, read by antidiagonals, where row n is the sum of n-th powers of unitary divisors of k (divisors d such that gcd(d, k/d) = 1). A286880