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495684 = 223272281
BaseRepresentation
bin1111001000001000100
3221011221200
41321001010
5111330214
614342500
74133100
oct1710104
9834850
10495684
11309462
121baa30
13144807
14cc900
159bd09
hex79044

495684 has 54 divisors (see below), whose sum is σ = 1462734. Its totient is φ = 141120.

The previous prime is 495679. The next prime is 495701. The reversal of 495684 is 486594.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 44100 = 672^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1624 + ... + 1904.

2495684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731367).

495684 is an abundant number, since it is smaller than the sum of its proper divisors (967050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495684 is a wasteful number, since it uses less digits than its factorization.

495684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 495684 is about 704.0482937981. The cubic root of 495684 is about 79.1410182225.

The spelling of 495684 in words is "four hundred ninety-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 281 294 441 562 588 843 882 1124 1686 1764 1967 2529 3372 3934 5058 5901 7868 10116 11802 13769 17703 23604 27538 35406 41307 55076 70812 82614 123921 165228 247842 495684