512
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 1023
- Proper Divisor Sum (Aliquot Sum)
- 511
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 256
- Möbius Function
- 0
- Radical
- 2
- Omega Function (Ω)
- 9
- Little Omega Function (ω)
- 1
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
- yes
- 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
- 9
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- fünfhundertzwölf· ordinal: fünfhundertzwölfste
- English
- five hundred twelve· ordinal: five hundred twelfth
- Spanish
- quinientos doce· ordinal: 512º
- French
- cinq cent douze· ordinal: cinq cent douzième
- Italian
- cinquecentododici· ordinal: 512º
- Latin
- quingenti duodecim· ordinal: 512.
- Portuguese
- quinhentos e doze· ordinal: 512º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=34A000009
- Number of partitions of n if there are two kinds of 1, two kinds of 2 and two kinds of 3.at n=11A000098
- Generalized class numbers c_(n,1).at n=15A000233
- Numbers that are not the sum of 4 nonzero squares.at n=20A000534
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=29A000549
- The cubes: a(n) = n^3.at n=8A000578
- Number of monosubstituted alkanes C(n-1)H(2n-1)-X with n-1 carbon atoms that are stereoisomers.at n=9A000620
- Expansion of e.g.f. (1 + tan(x))/(1 - tan(x)).at n=5A000831
- a(n) = ceiling(n^2/2).at n=32A000982
- Jordan-Polya numbers: products of factorial numbers A000142.at n=25A001013
- Ninth powers: a(n) = n^9.at n=2A001017
- Powers of 8: a(n) = 8^n.at n=3A001018
- Numbers k such that k / (sum of digits of k) is a square.at n=28A001102
- a(n) = 2*n^2.at n=16A001105
- An exponential function on partitions (next term is 2^512).at n=6A001144
- a(n) is the solution to the postage stamp problem with 5 denominations and n stamps.at n=7A001210
- Numbers k such that phi(k) = phi(k+2).at n=13A001494
- Number of stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=12A001523
- a(n) = 4^n + n^4.at n=4A001589
- Perfect powers: m^k where m > 0 and k >= 2.at n=30A001597