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252111328 = 2577391523
BaseRepresentation
bin11110000011011…
…10100111100000
3122120101120201121
433001232213200
51004020030303
641003342024
76150624310
oct1701564740
9576346647
10252111328
1111a345a77
1270521914
1340301701
14256a9440
15171ee9bd
hexf06e9e0

252111328 has 48 divisors (see below), whose sum is σ = 568391040. Its totient is φ = 107830656.

The previous prime is 252111311. The next prime is 252111329. The reversal of 252111328 is 823111252.

252111328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252111329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164775 + ... + 166297.

It is an arithmetic number, because the mean of its divisors is an integer number (11841480).

Almost surely, 2252111328 is an apocalyptic number.

252111328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252111328 is an abundant number, since it is smaller than the sum of its proper divisors (316279712).

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

252111328 is a wasteful number, since it uses less digits than its factorization.

252111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2271 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

The square root of 252111328 is about 15878.0139816036. The cubic root of 252111328 is about 631.7289603153.

The spelling of 252111328 in words is "two hundred fifty-two million, one hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 739 1478 1523 2956 3046 5173 5912 6092 10346 10661 11824 12184 20692 21322 23648 24368 41384 42644 48736 82768 85288 165536 170576 341152 1125497 2250994 4501988 7878479 9003976 15756958 18007952 31513916 36015904 63027832 126055664 252111328