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12428864 = 26727743
BaseRepresentation
bin101111011010…
…011001000000
3212101110012022
4233122121000
511140210424
61122221012
7210433520
oct57323100
925343168
1012428864
117019a98
1241b4768
132762276
141917680
15115795e
hexbda640

12428864 has 28 divisors (see below), whose sum is σ = 28187904. Its totient is φ = 5326464.

The previous prime is 12428837. The next prime is 12428891. The reversal of 12428864 is 46882421.

It is an interprime number because it is at equal distance from previous prime (12428837) and next prime (12428891).

It is a tau number, because it is divible by the number of its divisors (28).

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, 13424 + ... + 14319.

Almost surely, 212428864 is an apocalyptic number.

12428864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12428864 is an abundant number, since it is smaller than the sum of its proper divisors (15759040).

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

12428864 is an equidigital number, since it uses as much as digits as its factorization.

12428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27762 (or 27752 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 12428864 is about 3525.4594026878. The cubic root of 12428864 is about 231.6383584846.

The spelling of 12428864 in words is "twelve million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27743 55486 110972 194201 221944 388402 443888 776804 887776 1553608 1775552 3107216 6214432 12428864