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12442664 = 2313181661
BaseRepresentation
bin101111011101…
…110000101000
3212102011010102
4233131300220
511141131124
61122404532
7210521663
oct57356050
925364112
1012442664
1170293a3
124200748
132768630
14191c6da
15115baae
hexbddc28

12442664 has 32 divisors (see below), whose sum is σ = 25301640. Its totient is φ = 5702400.

The previous prime is 12442649. The next prime is 12442667. The reversal of 12442664 is 46624421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6400900 + 6041764 = 2530^2 + 2458^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12442667) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18494 + ... + 19154.

Almost surely, 212442664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650820).

12442664 is an abundant number, since it is smaller than the sum of its proper divisors (12858976).

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

12442664 is a wasteful number, since it uses less digits than its factorization.

12442664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 12442664 is about 3527.4160514462. The cubic root of 12442664 is about 231.7240575743.

The spelling of 12442664 in words is "twelve million, four hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 181 362 661 724 1322 1448 2353 2644 4706 5288 8593 9412 17186 18824 34372 68744 119641 239282 478564 957128 1555333 3110666 6221332 12442664