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44013564 = 2233728317
BaseRepresentation
bin1010011111100…
…1011111111100
310001211010021000
42213321133330
542231413224
64211210300
71043052300
oct247713774
9101733230
1044013564
1122932051
12128a6990
13917063a
145bb9d00
153ce60c9
hex29f97fc

44013564 has 72 divisors (see below), whose sum is σ = 132755280. Its totient is φ = 12573792.

The previous prime is 44013551. The next prime is 44013569. The reversal of 44013564 is 46531044.

44013564 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44013569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1134 + ... + 9450.

Almost surely, 244013564 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 44013564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66377640).

44013564 is an abundant number, since it is smaller than the sum of its proper divisors (88741716).

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

44013564 is a wasteful number, since it uses less digits than its factorization.

44013564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 44013564 is about 6634.2719268960. The cubic root of 44013564 is about 353.0711068092.

The spelling of 44013564 in words is "forty-four million, thirteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 8317 16634 24951 33268 49902 58219 74853 99804 116438 149706 174657 224559 232876 299412 349314 407533 449118 523971 698628 815066 898236 1047942 1222599 1571913 1630132 2095884 2445198 3143826 3667797 4890396 6287652 7335594 11003391 14671188 22006782 44013564