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257389902 = 232711185707
BaseRepresentation
bin11110101011101…
…11010101001110
3122221022202120100
433111313111032
51011342434102
641312431530
76243530610
oct1725672516
9587282510
10257389902
11122320930
12722485a6
134142c223
1426280db0
15178e3a1c
hexf57754e

257389902 has 48 divisors (see below), whose sum is σ = 695290752. Its totient is φ = 66854160.

The previous prime is 257389883. The next prime is 257389949. The reversal of 257389902 is 209983752.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91468 + ... + 94239.

It is an arithmetic number, because the mean of its divisors is an integer number (14485224).

Almost surely, 2257389902 is an apocalyptic number.

257389902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257389902 is an abundant number, since it is smaller than the sum of its proper divisors (437900850).

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

257389902 is a wasteful number, since it uses less digits than its factorization.

257389902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185733 (or 185730 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 257389902 is about 16043.3756423017. The cubic root of 257389902 is about 636.1074785727.

The spelling of 257389902 in words is "two hundred fifty-seven million, three hundred eighty-nine thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 185707 371414 557121 1114242 1299949 1671363 2042777 2599898 3342726 3899847 4085554 6128331 7799694 11699541 12256662 14299439 18384993 23399082 28598878 36769986 42898317 85796634 128694951 257389902