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930250656 = 253639877
BaseRepresentation
bin110111011100100…
…111111110100000
32101211102122000000
4313130213332200
53401121010111
6232150300000
732024000016
oct6734477640
92354378000
10930250656
114381140a5
1221b657600
1311a95879a
148b7928b6
1556a04c56
hex37727fa0

930250656 has 84 divisors (see below), whose sum is σ = 2745959202. Its totient is φ = 310075776.

The previous prime is 930250639. The next prime is 930250669. The reversal of 930250656 is 656052039.

It can be written as a sum of positive squares in only one way, i.e., 894967056 + 35283600 = 29916^2 + 5940^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 930250656.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3390 + ... + 43266.

Almost surely, 2930250656 is an apocalyptic number.

930250656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 930250656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372979601).

930250656 is an abundant number, since it is smaller than the sum of its proper divisors (1815708546).

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

930250656 is an equidigital number, since it uses as much as digits as its factorization.

930250656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39905 (or 39882 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 930250656 is about 30500.0107540965. The cubic root of 930250656 is about 976.1876934556.

The spelling of 930250656 in words is "nine hundred thirty million, two hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 39877 79754 119631 159508 239262 319016 358893 478524 638032 717786 957048 1076679 1276064 1435572 1914096 2153358 2871144 3230037 3828192 4306716 5742288 6460074 8613432 9690111 11484576 12920148 17226864 19380222 25840296 29070333 34453728 38760444 51680592 58140666 77520888 103361184 116281332 155041776 232562664 310083552 465125328 930250656