Properties of the Number 47168

Forty-Seven Thousand One Hundred Sixty-Eight

Basics

Value: 47167 → 47168 → 47169

Parity: even

Prime: No

Previous Prime: 47161

Next Prime: 47189

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 11 × 67

Divisors: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011100001000000

Octal: 134100

Duodecimal: 23368

Hexadecimal: b840

Square: 2224820224

Square Root: 217.18195136797164

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

Total sum of the smallest part of every partition of every shell of n. A196039

Number of nonempty subsets of {1, 2, ..., n} with GCD equal to 1 and containing the sum of any two elements whenever it is at most n. A358392

a(n) = T(n)³ + n³ where T(n) is a triangular number. A193576

Number of -4..4 arrays x(i) of n+1 elements i=1..n+1 with x(i)+x(j), x(i+1)+x(j+1), -(x(i)+x(j+1)), and -(x(i+1)+x(j)) having three distinct values for every i<=n and j<=n. A211687

Numbers of the form 6^j + 8^k, for j and k >= 0. A226824

Expansion of e.g.f. arcsin(tanh(x) * exp(x)). A12659

Numbers k such that k and k+1 are both exponentially odd numbers (A268335). A367695

Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= n/2. A47168