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12429888 = 263411579
BaseRepresentation
bin101111011010…
…101001000000
3212101111121020
4233122221000
511140224023
61122225440
7210436512
oct57325100
925344536
1012429888
11701a839
1241b5280
132762883
141917bb2
151157de3
hexbdaa40

12429888 has 56 divisors (see below), whose sum is σ = 33710880. Its totient is φ = 4039680.

The previous prime is 12429883. The next prime is 12429889. The reversal of 12429888 is 88892421.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12429883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7083 + ... + 8661.

It is an arithmetic number, because the mean of its divisors is an integer number (601980).

Almost surely, 212429888 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 12429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855440).

12429888 is an abundant number, since it is smaller than the sum of its proper divisors (21280992).

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

12429888 is a wasteful number, since it uses less digits than its factorization.

12429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1625 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 12429888 is about 3525.6046289963. The cubic root of 12429888 is about 231.6447197837.

The spelling of 12429888 in words is "twelve million, four hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1579 1968 2624 3158 3936 4737 6316 7872 9474 12632 18948 25264 37896 50528 64739 75792 101056 129478 151584 194217 258956 303168 388434 517912 776868 1035824 1553736 2071648 3107472 4143296 6214944 12429888