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252436842 = 232717117851
BaseRepresentation
bin11110000101111…
…10000101101010
3122121000010020200
433002332011222
51004110434332
641014333030
76153451320
oct1702760552
9577003220
10252436842
1111a548599
127065a176
13403b6918
1425751d10
151726617c
hexf0be16a

252436842 has 48 divisors (see below), whose sum is σ = 661856832. Its totient is φ = 67881600.

The previous prime is 252436823. The next prime is 252436871. The reversal of 252436842 is 248634252.

252436842 is a `hidden beast` number, since 252 + 4 + 368 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252436797 and 252436806.

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, 56784 + ... + 61067.

It is an arithmetic number, because the mean of its divisors is an integer number (13788684).

Almost surely, 2252436842 is an apocalyptic number.

252436842 is an abundant number, since it is smaller than the sum of its proper divisors (409419990).

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

252436842 is a wasteful number, since it uses less digits than its factorization.

252436842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117883 (or 117880 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 252436842 is about 15888.2611383373. The cubic root of 252436842 is about 632.0007293828. Note that the first 3 decimals are identical.

The spelling of 252436842 in words is "two hundred fifty-two million, four hundred thirty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 117851 235702 353553 707106 824957 1060659 1649914 2003467 2121318 2474871 4006934 4949742 6010401 7424613 12020802 14024269 14849226 18031203 28048538 36062406 42072807 84145614 126218421 252436842