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252528832 = 2612731069
BaseRepresentation
bin11110000110101…
…00100011000000
3122121011210102201
433003110203000
51004121410312
641020322544
76154313443
oct1703244300
9577153381
10252528832
1111a600716
12706a3454
134041975a
142577765a
1517283557
hexf0d48c0

252528832 has 28 divisors (see below), whose sum is σ = 505073920. Its totient is φ = 125266176.

The previous prime is 252528803. The next prime is 252528853. The reversal of 252528832 is 238825252.

It is a happy number.

252528832 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 252528791 and 252528800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7407 + ... + 23662.

Almost surely, 2252528832 is an apocalyptic number.

It is an amenable number.

252528832 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

252528832 is a wasteful number, since it uses less digits than its factorization.

252528832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31208 (or 31198 counting only the distinct ones).

The product of its digits is 76800, while the sum is 37.

The square root of 252528832 is about 15891.1557792377. The cubic root of 252528832 is about 632.0774887630.

The spelling of 252528832 in words is "two hundred fifty-two million, five hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 31069 62138 124276 248552 497104 994208 1988416 3945763 7891526 15783052 31566104 63132208 126264416 252528832