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252685328 = 2472256119
BaseRepresentation
bin11110000111110…
…10110000010000
3122121110202002212
433003322300100
51004141412303
641023531252
76155534630
oct1703726020
9577422085
10252685328
1111a6a8255
1270759b28
1340472a5c
14257b86c0
15172b4ad8
hexf0fac10

252685328 has 20 divisors (see below), whose sum is σ = 559517760. Its totient is φ = 108293664.

The previous prime is 252685319. The next prime is 252685333. The reversal of 252685328 is 823586252.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1127948 + ... + 1128171.

It is an arithmetic number, because the mean of its divisors is an integer number (27975888).

Almost surely, 2252685328 is an apocalyptic number.

252685328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252685328 is an abundant number, since it is smaller than the sum of its proper divisors (306832432).

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

252685328 is a wasteful number, since it uses less digits than its factorization.

252685328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256134 (or 2256128 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 252685328 is about 15896.0790133920. The cubic root of 252685328 is about 632.2080311798.

The spelling of 252685328 in words is "two hundred fifty-two million, six hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 2256119 4512238 9024476 15792833 18048952 31585666 36097904 63171332 126342664 252685328