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12428256 = 253129461
BaseRepresentation
bin101111011010…
…001111100000
3212101102100210
4233122033200
511140201011
61122214120
7210431661
oct57321740
925342323
1012428256
117019595
1241b4340
132761bc9
141917368
1511576a6
hexbda3e0

12428256 has 24 divisors (see below), whose sum is σ = 32624424. Its totient is φ = 4142720.

The previous prime is 12428243. The next prime is 12428279. The reversal of 12428256 is 65282421.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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, 64635 + ... + 64826.

It is an arithmetic number, because the mean of its divisors is an integer number (1359351).

Almost surely, 212428256 is an apocalyptic number.

12428256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12428256 is an abundant number, since it is smaller than the sum of its proper divisors (20196168).

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

12428256 is a wasteful number, since it uses less digits than its factorization.

12428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129474 (or 129466 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 12428256 is about 3525.3731717366. The cubic root of 12428256 is about 231.6345812979.

The spelling of 12428256 in words is "twelve million, four hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129461 258922 388383 517844 776766 1035688 1553532 2071376 3107064 4142752 6214128 12428256