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631904 = 25721331
BaseRepresentation
bin10011010010001100000
31012002210212
42122101200
5130210104
621313252
75241200
oct2322140
91162725
10631904
113a1839
12265828
13191810
14126400
15c736e
hex9a460

631904 has 72 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 241920.

The previous prime is 631903. The next prime is 631913. The reversal of 631904 is 409136.

It is a self number, because there is not a number n which added to its sum of digits gives 631904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20369 + ... + 20399.

It is an arithmetic number, because the mean of its divisors is an integer number (22344).

2631904 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 631904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

631904 is an abundant number, since it is smaller than the sum of its proper divisors (976864).

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

631904 is a wasteful number, since it uses less digits than its factorization.

631904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 631904 is about 794.9238957284. The cubic root of 631904 is about 85.8124631656.

The spelling of 631904 in words is "six hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 91 98 104 112 124 182 196 208 217 224 248 364 392 403 416 434 496 637 728 784 806 868 992 1274 1456 1519 1568 1612 1736 2548 2821 2912 3038 3224 3472 5096 5642 6076 6448 6944 10192 11284 12152 12896 19747 20384 22568 24304 39494 45136 48608 78988 90272 157976 315952 631904