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12482432 = 27113863
BaseRepresentation
bin101111100111…
…011110000000
3212111011200022
4233213132000
511143414212
61123313012
7211045634
oct57473600
925434608
1012482432
117056266
12421b768
132780771
14192cdc4
151168772
hexbe7780

12482432 has 32 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 6178816.

The previous prime is 12482419. The next prime is 12482447. The reversal of 12482432 is 23428421.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×124824322 = 311622217269248, which contains 22 as substring.

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, 14033 + ... + 14895.

It is an arithmetic number, because the mean of its divisors is an integer number (784890).

Almost surely, 212482432 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 12482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240).

12482432 is an abundant number, since it is smaller than the sum of its proper divisors (12634048).

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

12482432 is an equidigital number, since it uses as much as digits as its factorization.

12482432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 12482432 is about 3533.0485419818. The cubic root of 12482432 is about 231.9706661287.

The spelling of 12482432 in words is "twelve million, four hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 863 904 1726 1808 3452 3616 6904 7232 13808 14464 27616 55232 97519 110464 195038 390076 780152 1560304 3120608 6241216 12482432