392
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 855
- Proper Divisor Sum (Aliquot Sum)
- 463
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 168
- Möbius Function
- 0
- Radical
- 14
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 27
- Smith Number
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertzweiundneunzig· ordinal: dreihundertzweiundneunzigste
- English
- three hundred ninety-two· ordinal: three hundred ninety-second
- Spanish
- trescientos noventa y dos· ordinal: 392º
- French
- trois cent quatre-vingt-douze· ordinal: trois cent quatre-vingt-douzième
- Italian
- trecentonovantadue· ordinal: 392º
- Latin
- trecenti nonaginta duo· ordinal: 392.
- Portuguese
- trezentos e noventa e dois· ordinal: 392º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=53A000008
- Number of bipartite partitions of n white objects and 2 black ones.at n=10A000291
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=21A000701
- Number of switching networks with S(n) and C(2,2) acting on the domain and GL(2,2) acting on the range.at n=2A000874
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=23A000969
- a(n) = ceiling(n^2/2).at n=28A000982
- Number of one-sided chessboard polyominoes with n cells.at n=6A001071
- a(n) = 2*n^2.at n=14A001105
- Generalized pentagonal numbers: m*(3*m - 1)/2, m = 0, +-1, +-2, +-3, ....at n=32A001318
- Number of n-step self-avoiding walks on b.c.c. lattice (version 2).at n=3A001666
- Numbers k such that 3^k, 3^(k+1) and 3^(k+2) have the same number of digits.at n=18A001682
- Powerful numbers, definition (1): if a prime p divides n then p^2 must also divide n (also called squareful, square full, square-full or 2-powerful numbers).at n=31A001694
- The coding-theoretic function A(n,4,3).at n=48A001839
- Expansion of g.f. x/((1 - x)^2*(1 - x^3)).at n=47A001840
- Nearest integer to n^2/8.at n=56A001971
- Expansion of 1/((1-x)^2*(1-x^4)) = 1/( (1+x)*(1+x^2)*(1-x)^3 ).at n=53A001972
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=61A002155
- Number of bipartite partitions of n white objects and 10 black ones.at n=2A002759
- Susceptibility series for b.c.c. lattice.at n=3A002914
- Numbers that are the sum of 12 positive 4th powers.at n=50A003346