Properties of the Number 47449

Forty-Seven Thousand Four Hundred Forty-Nine

Basics

Value: 47448 → 47449 → 47450

Parity: odd

Prime: No

Previous Prime: 47441

Next Prime: 47459

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 23 × 2063

Divisors: 1, 23, 2063, 47449

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100101011001

Octal: 134531

Duodecimal: 23561

Hexadecimal: b959

Square: 2251407601

Square Root: 217.8279137300819

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 that are the sum of 3 nonzero 6th powers. A3359

Numerator of ∑_k=1..n 1/k⁶ = ζ(6,n). A103345

Square array A(n,k), n>=0, k>=0, read by antidiagonals: A(n,k) = (n!)^k * ∑_i=1..n 1/i^k. A291556

Array read by antidiagonals: T(n,k) is the number of isomorphism classes of n-fold coverings of a connected graph with Betti number k (1 <= n, 0 <= k). A160449

Sum of the second largest parts of the partitions of n into 9 parts. A326472

a(n) = (n!)⁶ * ∑_i=1..n 1/i⁶. A291456

G.f.: ∏_n>=1 1/(1 - xⁿ/n⁶) = ∑_n>=0 a(n)*xⁿ/n!⁶. A269794

a(n) = 2ⁿ + 3ⁿ + 6ⁿ. A74528

Sum of distinct nonzero sixth powers. A194769

Numbers which are numerators of at least one reduced rational sum{k=1 to m} 1/kⁿ, taken over all positive integers m and n. A94509