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957116424 = 233114019041
BaseRepresentation
bin111001000011000…
…111000000001000
32110200222112220110
4321003013000020
53430010211144
6234550154320
732501232615
oct7103070010
92420875813
10957116424
114512a3810
122286529a0
131233a3ca4
149118750c
15590600b9
hex390c7008

957116424 has 64 divisors (see below), whose sum is σ = 2617116480. Its totient is φ = 289280000.

The previous prime is 957116389. The next prime is 957116477. The reversal of 957116424 is 424611759.

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, 101344 + ... + 110384.

It is an arithmetic number, because the mean of its divisors is an integer number (40892445).

Almost surely, 2957116424 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 957116424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308558240).

957116424 is an abundant number, since it is smaller than the sum of its proper divisors (1660000056).

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

957116424 is a wasteful number, since it uses less digits than its factorization.

957116424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9462 (or 9458 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 957116424 is about 30937.2982660089. The cubic root of 957116424 is about 985.4961294274.

The spelling of 957116424 in words is "nine hundred fifty-seven million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 401 802 1203 1604 2406 3208 4411 4812 8822 9041 9624 13233 17644 18082 26466 27123 35288 36164 52932 54246 72328 99451 105864 108492 198902 216984 298353 397804 596706 795608 1193412 2386824 3625441 7250882 10876323 14501764 21752646 29003528 39879851 43505292 79759702 87010584 119639553 159519404 239279106 319038808 478558212 957116424