48
domain: N
Properties
Digital Properties
- Digit Count
- 2
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 124
- Proper Divisor Sum (Aliquot Sum)
- 76
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 11
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Names
- German
- achtundvierzig· ordinal: achtundvierzigste
- English
- forty-eight· ordinal: forty-eighth
- Spanish
- cuarenta y ocho· ordinal: 48º
- French
- quarante-huit· ordinal: quarante-huitième
- Italian
- quarantotto· ordinal: 48º
- Latin
- quadraginta octo· ordinal: 48.
- Portuguese
- quarenta e oito· ordinal: 48º
Appears in sequences
- Euler totient function phi(n): count numbers <= n and prime to n.at n=64A000010
- Erroneous version of A032522.at n=10A000017
- Number of primitive polynomials of degree n over GF(2) (version 2).at n=8A000020
- The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous.at n=47A000027
- Numbers that are not squares (or, the nonsquares).at n=41A000037
- Number of integers <= 2^n of form x^2 - 2y^2.at n=7A000047
- 1-digit numbers arranged in alphabetical order, then the 2-digit numbers arranged in alphabetical order, then the 3-digit numbers, etc.at n=34A000052
- Order of the group SL(2,Z_n).at n=3A000056
- Generalized tangent numbers d(n,1).at n=23A000061
- A Beatty sequence: a(n) = floor(n/(e-2)).at n=34A000062
- Numbers k such that k^4 + 1 is prime.at n=10A000068
- Number of nonisomorphic minimal triangle graphs.at n=6A000080
- Number of unlabeled rooted trees with n nodes (or connected functions with a fixed point).at n=7A000081
- Number of transformation groups of order n.at n=32A000113
- Number of transformation groups of order n.at n=34A000113
- Number of transformation groups of order n.at n=46A000113
- Number of transformation groups of order n.at n=55A000113
- Number of cusps of principal congruence subgroup Gamma^{hat}(n).at n=10A000114
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=27A000115
- Number of ways of writing n as a sum of 4 squares; also theta series of four-dimensional cubic lattice Z^4.at n=5A000118