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252911232 = 2732779397
BaseRepresentation
bin11110001001100…
…01111010000000
3122121220012222200
433010301322000
51004221124412
641032433200
76160465350
oct1704617200
9577805880
10252911232
1111a841a52
1270848800
1340521822
1425836b60
151730b9dc
hexf131e80

252911232 has 192 divisors, whose sum is σ = 844396800. Its totient is φ = 71165952.

The previous prime is 252911221. The next prime is 252911279. The reversal of 252911232 is 232119252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 252911196 and 252911205.

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, 636858 + ... + 637254.

It is an arithmetic number, because the mean of its divisors is an integer number (4397900).

Almost surely, 2252911232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252911232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422198400).

252911232 is an abundant number, since it is smaller than the sum of its proper divisors (591485568).

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

252911232 is a wasteful number, since it uses less digits than its factorization.

252911232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 488 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 252911232 is about 15903.1830776106. The cubic root of 252911232 is about 632.3963758228.

The spelling of 252911232 in words is "two hundred fifty-two million, nine hundred eleven thousand, two hundred thirty-two".