496
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 992
- Proper Divisor Sum (Aliquot Sum)
- 496
- Abundant Number
- no
- Perfect Number
- yes
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 240
- Möbius Function
- 0
- Radical
- 62
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 110
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- vierhundertsechsundneunzig· ordinal: vierhundertsechsundneunzigste
- English
- four hundred ninety-six· ordinal: four hundred ninety-sixth
- Spanish
- cuatrocientos noventa y seis· ordinal: 496º
- French
- quatre cent quatre-vingt-seize· ordinal: quatre cent quatre-vingt-seizième
- Italian
- quattrocentonovantasei· ordinal: 496º
- Latin
- quadringenti nonaginta sex· ordinal: 496.
- Portuguese
- quatrocentos e noventa e seis· ordinal: 496º
Appears in sequences
- Hexagonal numbers: a(n) = n*(2*n-1).at n=16A000384
- a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3), n > 3, with a(0)=a(1)=a(2)=0, a(3)=1.at n=11A000749
- a(n) = 8*a(n-1) - a(n-2); a(0) = 0, a(1) = 1.at n=4A001090
- Numbers that are the sum of 4 cubes in more than 1 way.at n=28A001245
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=24A001484
- Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer.at n=5A001599
- Numbers n such that every digit contains a loop (version 2).at n=47A001744
- Expansion of 1/((1+x)*(1-x)^6).at n=7A001753
- Reduced tangent numbers: 2^n*(2^{2n} - 1)*|B_{2n}|/n, where B_n = Bernoulli numbers.at n=4A002105
- a(n) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.at n=4A002593
- Rotatable partitions.at n=27A002722
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=50A003038
- Numerators of coefficients of Green function for cubic lattice.at n=3A003301
- Numbers that are the sum of 12 positive 5th powers.at n=21A003357
- Number of permutations of [n] with no 3-term arithmetic progression.at n=9A003407
- From a nim-like game.at n=22A003413
- a(n) = 2^(n-1)*( 2^n + (-1)^n ).at n=5A003665
- Degrees of irreducible representations of group L5(2).at n=16A003901
- a(n) = ceiling(100*log_2(n)).at n=30A004264
- Binomial coefficient C(4n,n-6).at n=2A004336