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12664944 = 2433191543
BaseRepresentation
bin110000010100…
…000001110000
3212211110001000
4300110001300
511220234234
61131242000
7212436015
oct60240160
925743030
1012664944
1171703a6
1242a9300
132815866
14197970c
1511a2899
hexc14070

12664944 has 80 divisors (see below), whose sum is σ = 38291200. Its totient is φ = 3996864.

The previous prime is 12664931. The next prime is 12664961. The reversal of 12664944 is 44946621.

12664944 is a `hidden beast` number, since 1 + 2 + 6 + 649 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 12664899 and 12664908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7437 + ... + 8979.

It is an arithmetic number, because the mean of its divisors is an integer number (478640).

Almost surely, 212664944 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 12664944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145600).

12664944 is an abundant number, since it is smaller than the sum of its proper divisors (25626256).

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

12664944 is a wasteful number, since it uses less digits than its factorization.

12664944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1567 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 12664944 is about 3558.7840620077. The cubic root of 12664944 is about 233.0957872722.

The spelling of 12664944 in words is "twelve million, six hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 1543 2052 2736 3086 4104 4629 6172 8208 9258 12344 13887 18516 24688 27774 29317 37032 41661 55548 58634 74064 83322 87951 111096 117268 166644 175902 222192 234536 263853 333288 351804 469072 527706 666576 703608 791559 1055412 1407216 1583118 2110824 3166236 4221648 6332472 12664944