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12438432 = 253243189
BaseRepresentation
bin101111011100…
…101110100000
3212101221022200
4233130232200
511141012212
61122333200
7210503436
oct57345640
925357280
1012438432
1170261a6
1241ba200
132766726
14191ad56
15115a6dc
hexbdcba0

12438432 has 36 divisors (see below), whose sum is σ = 35372610. Its totient is φ = 4146048.

The previous prime is 12438427. The next prime is 12438451. The reversal of 12438432 is 23483421.

It can be written as a sum of positive squares in only one way, i.e., 12362256 + 76176 = 3516^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12438396 and 12438405.

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 5 ways as a sum of consecutive naturals, for example, 21307 + ... + 21882.

Almost surely, 212438432 is an apocalyptic number.

12438432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12438432 is an abundant number, since it is smaller than the sum of its proper divisors (22934178).

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

12438432 is a wasteful number, since it uses less digits than its factorization.

12438432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43205 (or 43194 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12438432 is about 3526.8161278978. The cubic root of 12438432 is about 231.6977832595.

The spelling of 12438432 in words is "twelve million, four hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43189 86378 129567 172756 259134 345512 388701 518268 691024 777402 1036536 1382048 1554804 2073072 3109608 4146144 6219216 12438432