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12440192 = 27175717
BaseRepresentation
bin101111011101…
…001010000000
3212102000201212
4233131022000
511141041232
61122345252
7210511532
oct57351200
925360655
1012440192
117027556
1241bb228
13276747b
14191b852
15115aeb2
hexbdd280

12440192 has 32 divisors (see below), whose sum is σ = 26245620. Its totient is φ = 5853184.

The previous prime is 12440191. The next prime is 12440203. The reversal of 12440192 is 29104421.

12440192 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 11999296 + 440896 = 3464^2 + 664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12440191) 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, 683 + ... + 5034.

Almost surely, 212440192 is an apocalyptic number.

It is an amenable number.

12440192 is an abundant number, since it is smaller than the sum of its proper divisors (13805428).

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

12440192 is an equidigital number, since it uses as much as digits as its factorization.

12440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 12440192 is about 3527.0656359076. The cubic root of 12440192 is about 231.7087109194.

The spelling of 12440192 in words is "twelve million, four hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 5717 11434 22868 45736 91472 97189 182944 194378 365888 388756 731776 777512 1555024 3110048 6220096 12440192