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252740367 = 32119412713
BaseRepresentation
bin11110001000010…
…00001100001111
3122121120112121100
433010020030033
51004200142432
641025034143
76156154245
oct1704101417
9577515540
10252740367
1111a735640
1270785953
1340491b19
14257d0795
15172c607c
hexf10830f

252740367 has 24 divisors (see below), whose sum is σ = 398827728. Its totient is φ = 152956800.

The previous prime is 252740363. The next prime is 252740393. The reversal of 252740367 is 763047252.

It is a happy number.

252740367 is a `hidden beast` number, since 25 + 274 + 0 + 367 = 666.

It is not a de Polignac number, because 252740367 - 22 = 252740363 is a prime.

It is a super-2 number, since 2×2527403672 = 127755386222589378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252740363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91803 + ... + 94515.

It is an arithmetic number, because the mean of its divisors is an integer number (16617822).

Almost surely, 2252740367 is an apocalyptic number.

252740367 is a deficient number, since it is larger than the sum of its proper divisors (146087361).

252740367 is a wasteful number, since it uses less digits than its factorization.

252740367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 252740367 is about 15897.8101322163. The cubic root of 252740367 is about 632.2539295995.

The spelling of 252740367 in words is "two hundred fifty-two million, seven hundred forty thousand, three hundred sixty-seven".

Divisors: 1 3 9 11 33 99 941 2713 2823 8139 8469 10351 24417 29843 31053 89529 93159 268587 2552933 7658799 22976397 28082263 84246789 252740367