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12441728 = 27137477
BaseRepresentation
bin101111011101…
…100010000000
3212102002211202
4233131202000
511141113403
61122400332
7210516155
oct57354200
925362752
1012441728
117028722
1242000a8
132768090
14191c22c
15115b688
hexbdd880

12441728 has 32 divisors (see below), whose sum is σ = 26696460. Its totient is φ = 5741568.

The previous prime is 12441727. The next prime is 12441761. The reversal of 12441728 is 82714421.

It can be written as a sum of positive squares in 2 ways, for example, as 12334144 + 107584 = 3512^2 + 328^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12441728.

It is not an unprimeable number, because it can be changed into a prime (12441721) 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 3 ways as a sum of consecutive naturals, for example, 2075 + ... + 5402.

Almost surely, 212441728 is an apocalyptic number.

It is an amenable number.

12441728 is an abundant number, since it is smaller than the sum of its proper divisors (14254732).

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

12441728 is an equidigital number, since it uses as much as digits as its factorization.

12441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7492 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 12441728 is about 3527.2833739296. The cubic root of 12441728 is about 231.7182469441.

The spelling of 12441728 in words is "twelve million, four hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 7477 14954 29908 59816 97201 119632 194402 239264 388804 478528 777608 957056 1555216 3110432 6220864 12441728