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558928104 = 23373431579
BaseRepresentation
bin100001010100001…
…001000011101000
31102221201111012220
4201110021003220
52121041144404
6131243434040
716564545000
oct4124110350
91387644186
10558928104
11267555a59
12137225920
138ba481b7
1454335000
15341084d9
hex215090e8

558928104 has 128 divisors (see below), whose sum is σ = 1668480000. Its totient is φ = 155881152.

The previous prime is 558928093. The next prime is 558928121. The reversal of 558928104 is 401829855.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353187 + ... + 354765.

It is an arithmetic number, because the mean of its divisors is an integer number (13035000).

Almost surely, 2558928104 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 558928104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834240000).

558928104 is an abundant number, since it is smaller than the sum of its proper divisors (1109551896).

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

558928104 is a wasteful number, since it uses less digits than its factorization.

558928104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 558928104 is about 23641.6603477844. The cubic root of 558928104 is about 823.7308205810.

The spelling of 558928104 in words is "five hundred fifty-eight million, nine hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 343 344 392 516 588 602 686 903 1029 1032 1176 1204 1372 1579 1806 2058 2107 2408 2744 3158 3612 4116 4214 4737 6316 6321 7224 8232 8428 9474 11053 12632 12642 14749 16856 18948 22106 25284 29498 33159 37896 44212 44247 50568 58996 66318 67897 77371 88424 88494 117992 132636 135794 154742 176988 203691 232113 265272 271588 309484 353976 407382 464226 475279 541597 543176 618968 814764 928452 950558 1083194 1425837 1624791 1629528 1856904 1901116 2166388 2851674 3249582 3326953 3802232 4332776 5703348 6499164 6653906 9980859 11406696 12998328 13307812 19961718 23288671 26615624 39923436 46577342 69866013 79846872 93154684 139732026 186309368 279464052 558928104