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956076968 = 2371113711329
BaseRepresentation
bin111000111111001…
…001001110101000
32110122000202001002
4320333021032220
53424223430333
6234512014132
732456343260
oct7077111650
92418022032
10956076968
11450753860
12228231348
131230cbb22
1490d967a0
1558e070e8
hex38fc93a8

956076968 has 64 divisors (see below), whose sum is σ = 2251497600. Its totient is φ = 369745920.

The previous prime is 956076931. The next prime is 956076997. The reversal of 956076968 is 869670659.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78728 + ... + 90056.

It is an arithmetic number, because the mean of its divisors is an integer number (35179650).

Almost surely, 2956076968 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 956076968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125748800).

956076968 is an abundant number, since it is smaller than the sum of its proper divisors (1295420632).

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

956076968 is a wasteful number, since it uses less digits than its factorization.

956076968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490 (or 11486 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The square root of 956076968 is about 30920.4943039402. The cubic root of 956076968 is about 985.1392411401.

The spelling of 956076968 in words is "nine hundred fifty-six million, seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 154 274 308 548 616 959 1096 1507 1918 3014 3836 6028 7672 10549 11329 12056 21098 22658 42196 45316 79303 84392 90632 124619 158606 249238 317212 498476 634424 872333 996952 1552073 1744666 3104146 3489332 6208292 6978664 10864511 12416584 17072803 21729022 34145606 43458044 68291212 86916088 119509621 136582424 239019242 478038484 956076968