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252419648 = 2613303389
BaseRepresentation
bin11110000101110…
…01111001000000
3122120222020122212
433002321321000
51004104412043
641014121252
76153350225
oct1702717100
9576866585
10252419648
1111a536688
1270650228
13403abb50
142574994c
1517261018
hexf0b9e40

252419648 has 28 divisors (see below), whose sum is σ = 539427420. Its totient is φ = 116500992.

The previous prime is 252419633. The next prime is 252419677. The reversal of 252419648 is 846914252.

It can be written as a sum of positive squares in 2 ways, for example, as 87759424 + 164660224 = 9368^2 + 12832^2 .

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, 150863 + ... + 152526.

It is an arithmetic number, because the mean of its divisors is an integer number (19265265).

Almost surely, 2252419648 is an apocalyptic number.

It is an amenable number.

252419648 is an abundant number, since it is smaller than the sum of its proper divisors (287007772).

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

252419648 is a wasteful number, since it uses less digits than its factorization.

252419648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303414 (or 303404 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 252419648 is about 15887.7200378154. The cubic root of 252419648 is about 631.9863800942.

The spelling of 252419648 in words is "two hundred fifty-two million, four hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 303389 606778 1213556 2427112 3944057 4854224 7888114 9708448 15776228 19416896 31552456 63104912 126209824 252419648