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930956768 = 25714927893
BaseRepresentation
bin110111011111010…
…100010111100000
32101212202111121022
4313133110113200
53401311104033
6232213345012
732033000450
oct6737242740
92355674538
10930956768
11438556665
1221b938168
1311ab44cc1
148b8d7d60
1556ae4098
hex377d45e0

930956768 has 48 divisors (see below), whose sum is σ = 2108786400. Its totient is φ = 396289536.

The previous prime is 930956749. The next prime is 930956773. The reversal of 930956768 is 867659039.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19430 + ... + 47322.

It is an arithmetic number, because the mean of its divisors is an integer number (43933050).

Almost surely, 2930956768 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 930956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054393200).

930956768 is an abundant number, since it is smaller than the sum of its proper divisors (1177829632).

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

930956768 is a wasteful number, since it uses less digits than its factorization.

930956768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28059 (or 28051 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 53.

The square root of 930956768 is about 30511.5841607741. The cubic root of 930956768 is about 976.4346245769.

The spelling of 930956768 in words is "nine hundred thirty million, nine hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 596 1043 1192 2086 2384 4172 4768 8344 16688 27893 33376 55786 111572 195251 223144 390502 446288 781004 892576 1562008 3124016 4156057 6248032 8312114 16624228 29092399 33248456 58184798 66496912 116369596 132993824 232739192 465478384 930956768