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557108832 = 253742417
BaseRepresentation
bin100001001101001…
…100111001100000
31102211022001122110
4201031030321200
52120104440312
6131140435320
716543230000
oct4115147140
91384261573
10557108832
11266523125
121366a8b40
138b55c0c7
1453dc0000
1533d9943c
hex2134ce60

557108832 has 120 divisors (see below), whose sum is σ = 1706750136. Its totient is φ = 159108096.

The previous prime is 557108789. The next prime is 557108833. The reversal of 557108832 is 238801755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557108833) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229288 + ... + 231704.

Almost surely, 2557108832 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 557108832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853375068).

557108832 is an abundant number, since it is smaller than the sum of its proper divisors (1149641304).

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

557108832 is an equidigital number, since it uses as much as digits as its factorization.

557108832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 557108832 is about 23603.1530097146. The cubic root of 557108832 is about 822.8361203569.

The spelling of 557108832 in words is "five hundred fifty-seven million, one hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2401 2417 2744 4116 4704 4802 4834 5488 7203 7251 8232 9604 9668 10976 14406 14502 16464 16919 19208 19336 28812 29004 32928 33838 38416 38672 50757 57624 58008 67676 76832 77344 101514 115248 116016 118433 135352 203028 230496 232032 236866 270704 355299 406056 473732 541408 710598 812112 829031 947464 1421196 1624224 1658062 1894928 2487093 2842392 3316124 3789856 4974186 5684784 5803217 6632248 9948372 11369568 11606434 13264496 17409651 19896744 23212868 26528992 34819302 39793488 46425736 69638604 79586976 92851472 139277208 185702944 278554416 557108832