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12444224 = 261314957
BaseRepresentation
bin101111011110…
…001001000000
3212102020021012
4233132021000
511141203344
61122420052
7210526352
oct57361100
925366235
1012444224
11702a591
124201628
132769260
14191d0d2
15115c29e
hexbde240

12444224 has 28 divisors (see below), whose sum is σ = 26595324. Its totient is φ = 5743104.

The previous prime is 12444193. The next prime is 12444239. The reversal of 12444224 is 42244421.

It can be written as a sum of positive squares in 2 ways, for example, as 2458624 + 9985600 = 1568^2 + 3160^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12444224.

It is an unprimeable number.

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, 6647 + ... + 8310.

It is an arithmetic number, because the mean of its divisors is an integer number (949833).

Almost surely, 212444224 is an apocalyptic number.

It is an amenable number.

12444224 is an abundant number, since it is smaller than the sum of its proper divisors (14151100).

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

12444224 is a wasteful number, since it uses less digits than its factorization.

12444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14982 (or 14972 counting only the distinct ones).

The product of its digits is 2048, while the sum is 23.

The square root of 12444224 is about 3527.6371695513. The cubic root of 12444224 is about 231.7337413104.

Adding to 12444224 its reverse (42244421), we get a palindrome (54688645).

The spelling of 12444224 in words is "twelve million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 14957 29914 59828 119656 194441 239312 388882 478624 777764 957248 1555528 3111056 6222112 12444224