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252430857 = 3371379749
BaseRepresentation
bin11110000101111…
…00101000001001
3122120222211001000
433002330220021
51004110241412
641014245213
76153425010
oct1702745011
9576884030
10252430857
1111a544048
1270656809
13403b3c93
142574da77
15172644dc
hexf0bca09

252430857 has 32 divisors (see below), whose sum is σ = 430560000. Its totient is φ = 143178624.

The previous prime is 252430853. The next prime is 252430873. The reversal of 252430857 is 758034252.

It is not a de Polignac number, because 252430857 - 22 = 252430853 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252430853) 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, 21019 + ... + 30767.

It is an arithmetic number, because the mean of its divisors is an integer number (13455000).

Almost surely, 2252430857 is an apocalyptic number.

252430857 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

252430857 is a deficient number, since it is larger than the sum of its proper divisors (178129143).

252430857 is a wasteful number, since it uses less digits than its factorization.

252430857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9902 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 252430857 is about 15888.0727906188. The cubic root of 252430857 is about 631.9957346625.

The spelling of 252430857 in words is "two hundred fifty-two million, four hundred thirty thousand, eight hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 137 189 411 959 1233 2877 3699 8631 9749 25893 29247 68243 87741 204729 263223 614187 1335613 1842561 4006839 9349291 12020517 28047873 36061551 84143619 252430857