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12428032 = 28431129
BaseRepresentation
bin101111011010…
…001100000000
3212101102001111
4233122030000
511140144112
61122213104
7210431221
oct57321400
925342044
1012428032
117019401
1241b4194
132761a86
141917248
1511575a7
hexbda300

12428032 has 36 divisors (see below), whose sum is σ = 25406920. Its totient is φ = 6064128.

The previous prime is 12428021. The next prime is 12428047. The reversal of 12428032 is 23082421.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12427994 and 12428012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10444 + ... + 11572.

Almost surely, 212428032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703460).

12428032 is an abundant number, since it is smaller than the sum of its proper divisors (12978888).

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

12428032 is an equidigital number, since it uses as much as digits as its factorization.

12428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12428032 is about 3525.3414019071. The cubic root of 12428032 is about 231.6331896718.

The spelling of 12428032 in words is "twelve million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1129 1376 2258 2752 4516 5504 9032 11008 18064 36128 48547 72256 97094 144512 194188 289024 388376 776752 1553504 3107008 6214016 12428032