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631290912 = 25372433121
BaseRepresentation
bin100101101000001…
…011110000100000
31121222212220022220
4211220023300200
52243102302122
6142350431040
721433612200
oct4550136040
91558786286
10631290912
112a439022a
12157502480
13a0a33325
145dbb0400
153a64e25c
hex25a0bc20

631290912 has 144 divisors (see below), whose sum is σ = 1973153952. Its totient is φ = 176117760.

The previous prime is 631290901. The next prime is 631290943. The reversal of 631290912 is 219092136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200712 + ... + 203832.

It is an arithmetic number, because the mean of its divisors is an integer number (13702458).

Almost surely, 2631290912 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 631290912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986576976).

631290912 is an abundant number, since it is smaller than the sum of its proper divisors (1341863040).

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

631290912 is a wasteful number, since it uses less digits than its factorization.

631290912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 631290912 is about 25125.5032188412. The cubic root of 631290912 is about 857.8470176766.

The spelling of 631290912 in words is "six hundred thirty-one million, two hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 344 392 516 588 602 672 688 784 903 1032 1176 1204 1376 1568 1806 2064 2107 2352 2408 3121 3612 4128 4214 4704 4816 6242 6321 7224 8428 9363 9632 12484 12642 14448 16856 18726 21847 24968 25284 28896 33712 37452 43694 49936 50568 65541 67424 74904 87388 99872 101136 131082 134203 149808 152929 174776 202272 262164 268406 299616 305858 349552 402609 458787 524328 536812 611716 699104 805218 917574 939421 1048656 1073624 1223432 1610436 1835148 1878842 2097312 2147248 2446864 2818263 3220872 3670296 3757684 4294496 4893728 5636526 6441744 6575947 7340592 7515368 11273052 12883488 13151894 14681184 15030736 19727841 22546104 26303788 30061472 39455682 45092208 52607576 78911364 90184416 105215152 157822728 210430304 315645456 631290912