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957494272 = 2107312139
BaseRepresentation
bin111001000100100…
…011010000000000
32110201200202012211
4321010203100000
53430104304042
6235002231504
732504365330
oct7104432000
92421622184
10957494272
11451531689
122287b5594
131234a6c77
14912450c0
15590d7017
hex39123400

957494272 has 132 divisors (see below), whose sum is σ = 2276591520. Its totient is φ = 394260480.

The previous prime is 957494261. The next prime is 957494297. The reversal of 957494272 is 272494759.

It is a cake number, because a cake can be divided into 957494272 parts by 1791 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6888379 + ... + 6888517.

Almost surely, 2957494272 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 957494272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138295760).

957494272 is an abundant number, since it is smaller than the sum of its proper divisors (1319097248).

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

957494272 is a wasteful number, since it uses less digits than its factorization.

957494272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 179 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The square root of 957494272 is about 30943.4043375967. The cubic root of 957494272 is about 985.6257962552.

The spelling of 957494272 in words is "nine hundred fifty-seven million, four hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 139 217 224 248 256 278 434 448 496 512 556 868 896 961 973 992 1024 1112 1736 1792 1922 1946 1984 2224 3472 3584 3844 3892 3968 4309 4448 6727 6944 7168 7688 7784 7936 8618 8896 13454 13888 15376 15568 15872 17236 17792 26908 27776 30163 30752 31136 31744 34472 35584 53816 55552 60326 61504 62272 68944 71168 107632 111104 120652 123008 124544 133579 137888 142336 215264 222208 241304 246016 249088 267158 275776 430528 482608 492032 498176 534316 551552 861056 935053 965216 984064 996352 1068632 1103104 1722112 1870106 1930432 2137264 2206208 3444224 3740212 3860864 4274528 4412416 6888448 7480424 7721728 8549056 14960848 15443456 17098112 29921696 30886912 34196224 59843392 68392448 119686784 136784896 239373568 478747136 957494272