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557376688 = 241117311599
BaseRepresentation
bin100001001110001…
…110010010110000
31102211210200002001
4201032032102300
52120142023223
6131150303344
716545423631
oct4116162260
91384720061
10557376688
112666963a0
121367b7b54
138b623cbb
145404d888
1533ded9ad
hex2138e4b0

557376688 has 80 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 237286400.

The previous prime is 557376629. The next prime is 557376697. The reversal of 557376688 is 886673755.

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, 930213 + ... + 930811.

It is an arithmetic number, because the mean of its divisors is an integer number (15668640).

Almost surely, 2557376688 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 557376688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

557376688 is an abundant number, since it is smaller than the sum of its proper divisors (696114512).

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

557376688 is a wasteful number, since it uses less digits than its factorization.

557376688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 940 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 55.

The square root of 557376688 is about 23608.8264850246. The cubic root of 557376688 is about 822.9679714817.

The spelling of 557376688 in words is "five hundred fifty-seven million, three hundred seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 311 374 599 622 748 1198 1244 1496 2396 2488 2992 3421 4792 4976 5287 6589 6842 9584 10183 10574 13178 13684 20366 21148 26356 27368 40732 42296 52712 54736 58157 81464 84592 105424 112013 116314 162928 186289 224026 232628 372578 448052 465256 745156 896104 930512 1490312 1792208 2049179 2980624 3166913 4098358 6333826 8196716 12667652 16393432 25335304 32786864 34836043 50670608 69672086 139344172 278688344 557376688