Properties of the Number 192

One Hundred Ninety-Two

Basics

Value: 191 → 192 → 193

Parity: even

Prime: No

Previous Prime: 191

Next Prime: 193

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000000

Octal: 300

Duodecimal: 140

Hexadecimal: c0

Square: 36864

Square Root: 13.856406460551018

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

a(n) = n' = arithmetic derivative of n: a(0) = a(1) = 0, a(prime) = 1, a(m·n) = m·a(n) + n·a(m). A3415

Least integer of each prime signature A124832; also products of primorial numbers A002110. A25487

Numbers k such that (35·10^k - 11)/3 is prime. A268448

a(n) = n·2^n-1. A1787

Abundant numbers (sum of divisors of m exceeds 2m). A5101

Average of twin prime pairs. A14574

3-smooth numbers: numbers of the form 2ⁱ*3^j with i, j >= 0. A3586

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