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957116468 = 2271123313337
BaseRepresentation
bin111001000011000…
…111000000110100
32110200222112222002
4321003013000310
53430010211333
6234550154432
732501233010
oct7103070064
92420875862
10957116468
114512a3850
12228652a18
131233a4009
1491187540
15590600e8
hex390c7034

957116468 has 48 divisors (see below), whose sum is σ = 2097373824. Its totient is φ = 371274240.

The previous prime is 957116389. The next prime is 957116477. The reversal of 957116468 is 864611759.

It is a congruent number.

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, 65096 + ... + 78432.

It is an arithmetic number, because the mean of its divisors is an integer number (43695288).

Almost surely, 2957116468 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 957116468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048686912).

957116468 is an abundant number, since it is smaller than the sum of its proper divisors (1140257356).

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

957116468 is a wasteful number, since it uses less digits than its factorization.

957116468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13592 (or 13590 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 957116468 is about 30937.2989771247. The cubic root of 957116468 is about 985.4961445290.

The spelling of 957116468 in words is "nine hundred fifty-seven million, one hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 233 308 466 932 1631 2563 3262 5126 6524 10252 13337 17941 26674 35882 53348 71764 93359 146707 186718 293414 373436 586828 1026949 2053898 3107521 4107796 6215042 12430084 21752647 34182731 43505294 68365462 87010588 136730924 239279117 478558234 957116468