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252052704 = 2532875183
BaseRepresentation
bin11110000011000…
…00010011100000
3122120021121022100
433001200103200
51004011141304
641002210400
76150261351
oct1701402340
9576247270
10252052704
1111a305a22
12704b3a00
13402b0b17
1425691d28
15171dc439
hexf0604e0

252052704 has 36 divisors (see below), whose sum is σ = 716775696. Its totient is φ = 84017472.

The previous prime is 252052687. The next prime is 252052729. The reversal of 252052704 is 407250252.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437304 + ... + 437879.

It is an arithmetic number, because the mean of its divisors is an integer number (19910436).

Almost surely, 2252052704 is an apocalyptic number.

252052704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252052704 is an abundant number, since it is smaller than the sum of its proper divisors (464722992).

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

252052704 is a wasteful number, since it uses less digits than its factorization.

252052704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875199 (or 875188 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 252052704 is about 15876.1677995667. The cubic root of 252052704 is about 631.6799907460.

The spelling of 252052704 in words is "two hundred fifty-two million, fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 875183 1750366 2625549 3500732 5251098 7001464 7876647 10502196 14002928 15753294 21004392 28005856 31506588 42008784 63013176 84017568 126026352 252052704