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252536232 = 233134091979
BaseRepresentation
bin11110000110101…
…10010110101000
3122121012011120210
433003112112220
51004122124412
641020421120
76154344144
oct1703262650
9577164523
10252536232
1111a606233
12706a77a0
134041cc30
142577a224
151728583c
hexf0d65a8

252536232 has 64 divisors (see below), whose sum is σ = 681912000. Its totient is φ = 77474304.

The previous prime is 252536213. The next prime is 252536257. The reversal of 252536232 is 232635252.

252536232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252536232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126619 + ... + 128597.

It is an arithmetic number, because the mean of its divisors is an integer number (10654875).

Almost surely, 2252536232 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 252536232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340956000).

252536232 is an abundant number, since it is smaller than the sum of its proper divisors (429375768).

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

252536232 is a wasteful number, since it uses less digits than its factorization.

252536232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 252536232 is about 15891.3886114461. The cubic root of 252536232 is about 632.0836627481.

The spelling of 252536232 in words is "two hundred fifty-two million, five hundred thirty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 409 818 1227 1636 1979 2454 3272 3958 4908 5317 5937 7916 9816 10634 11874 15832 15951 21268 23748 25727 31902 42536 47496 51454 63804 77181 102908 127608 154362 205816 308724 617448 809411 1618822 2428233 3237644 4856466 6475288 9712932 10522343 19425864 21044686 31567029 42089372 63134058 84178744 126268116 252536232