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257198630 = 251319313359
BaseRepresentation
bin11110101010010…
…00101000100110
3122220222001012012
433111020220212
51011320324010
641304354222
76242103143
oct1725105046
9586861165
10257198630
11122200157
1272175972
1341393150
14262313ca
15178a7005
hexf548a26

257198630 has 64 divisors (see below), whose sum is σ = 541900800. Its totient is φ = 87039360.

The previous prime is 257198629. The next prime is 257198639. The reversal of 257198630 is 36891752.

It is a super-2 number, since 2×2571986302 = 132302270547753800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257198639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74891 + ... + 78249.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2257198630 is an apocalyptic number.

257198630 is an abundant number, since it is smaller than the sum of its proper divisors (284702170).

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

257198630 is a wasteful number, since it uses less digits than its factorization.

257198630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 257198630 is about 16037.4134448171. The cubic root of 257198630 is about 635.9498711199.

The spelling of 257198630 in words is "two hundred fifty-seven million, one hundred ninety-eight thousand, six hundred thirty".

Divisors: 1 2 5 10 13 19 26 31 38 62 65 95 130 155 190 247 310 403 494 589 806 1178 1235 2015 2470 2945 3359 4030 5890 6718 7657 15314 16795 33590 38285 43667 63821 76570 87334 104129 127642 208258 218335 319105 436670 520645 638210 829673 1041290 1353677 1659346 1978451 2707354 3956902 4148365 6768385 8296730 9892255 13536770 19784510 25719863 51439726 128599315 257198630