Properties of the Number 4992

Four Thousand Nine Hundred Ninety-Two

Basics

Value: 4991 → 4992 → 4993

Parity: even

Prime: No

Previous Prime: 4987

Next Prime: 4993

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 13

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110000000

Octal: 11600

Duodecimal: 2A80

Hexadecimal: 1380

Square: 24920064

Square Root: 70.65408693062278

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 k that divide the (left) concatenation of all numbers <= k written in base 25 (most significant digit on left). A29494

Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1. A125

12-gonal (or dodecagonal) numbers: a(n) = n*(5·n-4). A51624

Numbers that are divisible by exactly 9 primes with multiplicity. A46312

Numbers of the form 9·k² + 8·k, k an integer. A218864

Expansion of ∏_k>=1 (1 + 2^k-1*x^k). A304961

Numbers that can be expressed as the difference of the squares of primes in just two distinct ways. A90788

Smallest k such that φ(x) = k has exactly n solutions, n>=2. A7374

a(n) = a(n-1) + 3·a(n-2) - a(n-4), with a(0)=1, a(1)=1, a(2)=4, a(3)=7. A124400

Numbers where the sum of distinct prime indices (A066328) is equal to the number of prime factors counted with multiplicity (A001222). A324570