492
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1176
- Proper Divisor Sum (Aliquot Sum)
- 684
- 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
- 160
- Möbius Function
- 0
- Radical
- 246
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- vierhundertzweiundneunzig· ordinal: vierhundertzweiundneunzigste
- English
- four hundred ninety-two· ordinal: four hundred ninety-second
- Spanish
- cuatrocientos noventa y dos· ordinal: 492º
- French
- quatre cent quatre-vingt-douze· ordinal: quatre cent quatre-vingt-douzième
- Italian
- quattrocentonovantadue· ordinal: 492º
- Latin
- quadringenti nonaginta duo· ordinal: 492.
- Portuguese
- quatrocentos e noventa e dois· ordinal: 492º
Appears in sequences
- Number of twin prime pairs < square of n-th prime.at n=40A000885
- a(n) = a(n-1) + n*a(n-2); a(0) = a(1) = 1.at n=7A000932
- Sum of Fermat coefficients.at n=8A000967
- Numbers that are the sum of 2 successive primes.at n=52A001043
- Partial sums of A001462; also a(n) is the last occurrence of n in A001462.at n=54A001463
- Hexanacci numbers: a(n+1) = a(n)+...+a(n-5) with a(0)=...=a(4)=0, a(5)=1.at n=15A001592
- Number of partitions of n with exactly two part sizes.at n=57A002133
- Numbers k for which the rank of the elliptic curve y^2 = x^3 + k is 2.at n=73A002155
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=16A002311
- Denominators of convergents to cube root of 4.at n=8A002355
- A generalized partition function.at n=11A002598
- Numbers k such that (k^2 + k + 1)/7 is prime.at n=43A002641
- Expansion of (1 + x*exp(x))^2.at n=6A002999
- Length of shortest (or optimal) Golomb ruler with n marks.at n=24A003022
- Beginnings of periodic unitary aliquot sequences.at n=41A003062
- Numbers that are the sum of 8 positive 5th powers.at n=17A003353
- Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10).at n=41A003635
- Number of spanning trees with degrees 1 and 3 in S_4 X P_{2n-1}.at n=4A003756
- Sum of remainders of n mod k, for k = 1, 2, 3, ..., n.at n=53A004125
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=4A004945