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27628448 = 25892109
BaseRepresentation
bin110100101100…
…1001110100000
31220222200002212
41221121032200
524033102243
62424101252
7453560261
oct151311640
956880085
1027628448
1114660731
129304828
1359546c3
143952968
15265b318
hex1a593a0

27628448 has 36 divisors (see below), whose sum is σ = 55516230. Its totient is φ = 13533696.

The previous prime is 27628439. The next prime is 27628453. The reversal of 27628448 is 84482672.

It can be written as a sum of positive squares in 3 ways, for example, as 18215824 + 9412624 = 4268^2 + 3068^2 .

It is a super-2 number, since 2×276284482 = 1526662277777408, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 253418 + ... + 253526.

Almost surely, 227628448 is an apocalyptic number.

It is an amenable number.

27628448 is an abundant number, since it is smaller than the sum of its proper divisors (27887782).

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

27628448 is an equidigital number, since it uses as much as digits as its factorization.

27628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 200 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 27628448 is about 5256.2770094431. The cubic root of 27628448 is about 302.3097562991.

The spelling of 27628448 in words is "twenty-seven million, six hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 89 109 178 218 356 436 712 872 1424 1744 2848 3488 7921 9701 15842 19402 31684 38804 63368 77608 126736 155216 253472 310432 863389 1726778 3453556 6907112 13814224 27628448