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12429288 = 233419181
BaseRepresentation
bin101111011010…
…011111101000
3212101110210000
4233122133220
511140214123
61122223000
7210434664
oct57323750
925343700
1012429288
11701a343
1241b4a60
132762511
1419178a4
151157b43
hexbda7e8

12429288 has 40 divisors (see below), whose sum is σ = 34815330. Its totient is φ = 4142880.

The previous prime is 12429283. The next prime is 12429301. The reversal of 12429288 is 88292421.

It can be written as a sum of positive squares in only one way, i.e., 9253764 + 3175524 = 3042^2 + 1782^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12429283) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8943 + ... + 10238.

Almost surely, 212429288 is an apocalyptic number.

12429288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12429288 is an abundant number, since it is smaller than the sum of its proper divisors (22386042).

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

12429288 is a wasteful number, since it uses less digits than its factorization.

12429288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19199 (or 19186 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 12429288 is about 3525.5195361819. The cubic root of 12429288 is about 231.6409925024.

The spelling of 12429288 in words is "twelve million, four hundred twenty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19181 38362 57543 76724 115086 153448 172629 230172 345258 460344 517887 690516 1035774 1381032 1553661 2071548 3107322 4143096 6214644 12429288