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44093664 = 2532283541
BaseRepresentation
bin1010100000110…
…1000011100000
310001222012010200
42220031003200
542241444124
64213025200
71043534646
oct250150340
9101865120
1044093664
112298724a
1212925200
13919ac34
145bdb196
153d0ebc9
hex2a0d0e0

44093664 has 72 divisors (see below), whose sum is σ = 126067032. Its totient is φ = 14618880.

The previous prime is 44093639. The next prime is 44093711. The reversal of 44093664 is 46639044.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81234 + ... + 81774.

It is an arithmetic number, because the mean of its divisors is an integer number (1750931).

Almost surely, 244093664 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 44093664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63033516).

44093664 is an abundant number, since it is smaller than the sum of its proper divisors (81973368).

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

44093664 is a wasteful number, since it uses less digits than its factorization.

44093664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 44093664 is about 6640.3060170447. The cubic root of 44093664 is about 353.2851609497.

The spelling of 44093664 in words is "forty-four million, ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 541 566 849 1082 1132 1623 1698 2164 2264 2547 3246 3396 4328 4528 4869 5094 6492 6792 8656 9056 9738 10188 12984 13584 17312 19476 20376 25968 27168 38952 40752 51936 77904 81504 153103 155808 306206 459309 612412 918618 1224824 1377927 1837236 2449648 2755854 3674472 4899296 5511708 7348944 11023416 14697888 22046832 44093664