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631920864 = 25331415179
BaseRepresentation
bin100101101010100…
…101100011100000
31122001001220110110
4211222211203200
52243232431424
6142412131320
721442144611
oct4552454340
91561056413
10631920864
112a4780553
12157766b40
13a0bc3c93
145dcd5c08
153a725c29
hex25aa58e0

631920864 has 96 divisors (see below), whose sum is σ = 1754403840. Its totient is φ = 198835200.

The previous prime is 631920859. The next prime is 631920881. The reversal of 631920864 is 468029136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119427 + ... + 124605.

It is an arithmetic number, because the mean of its divisors is an integer number (18275040).

Almost surely, 2631920864 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 631920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877201920).

631920864 is an abundant number, since it is smaller than the sum of its proper divisors (1122482976).

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

631920864 is a wasteful number, since it uses less digits than its factorization.

631920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 631920864 is about 25138.0362001490. The cubic root of 631920864 is about 858.1322653502.

The spelling of 631920864 in words is "six hundred thirty-one million, nine hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 5179 7626 10168 10358 15252 15537 20336 20716 30504 31074 40672 41432 61008 62148 82864 122016 124296 160549 165728 212339 248592 321098 424678 481647 497184 637017 642196 849356 963294 1274034 1284392 1698712 1926588 2548068 2568784 3397424 3853176 5096136 5137568 6582509 6794848 7706352 10192272 13165018 15412704 19747527 20384544 26330036 39495054 52660072 78990108 105320144 157980216 210640288 315960432 631920864