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12444112 = 241814297
BaseRepresentation
bin101111011110…
…000111010000
3212102020010001
4233132013100
511141202422
61122415344
7210526132
oct57360720
925366101
1012444112
11702a49a
124201554
1327691a5
14191d052
15115c227
hexbde1d0

12444112 has 20 divisors (see below), whose sum is σ = 24249316. Its totient is φ = 6186240.

The previous prime is 12444097. The next prime is 12444137. The reversal of 12444112 is 21144421.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 9960336 = 1576^2 + 3156^2 .

It is a super-3 number, since 3×124441123 (a number of 22 digits) contains 333 as substring.

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 12444112.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 748 + ... + 5044.

Almost surely, 212444112 is an apocalyptic number.

It is an amenable number.

12444112 is a deficient number, since it is larger than the sum of its proper divisors (11805204).

12444112 is a wasteful number, since it uses less digits than its factorization.

12444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4480 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 12444112 is about 3527.6212948671. The cubic root of 12444112 is about 231.7330460947.

Adding to 12444112 its reverse (21144421), we get a palindrome (33588533).

It can be divided in two parts, 1244 and 4112, that added together give a triangular number (5356 = T103).

The spelling of 12444112 in words is "twelve million, four hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 181 362 724 1448 2896 4297 8594 17188 34376 68752 777757 1555514 3111028 6222056 12444112