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44643564 = 22327172613
BaseRepresentation
bin1010101001001…
…1010011101100
310010000010110100
42222103103230
542412043224
64232511100
71051315110
oct252232354
9103003410
1044643564
1123222409
1212b4b490
139331314
145d01740
153dbcac9
hex2a934ec

44643564 has 108 divisors (see below), whose sum is σ = 137226544. Its totient is φ = 11985408.

The previous prime is 44643553. The next prime is 44643569. The reversal of 44643564 is 46534644.

44643564 is a `hidden beast` number, since 4 + 4 + 643 + 5 + 6 + 4 = 666.

44643564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (44643569) 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 35 ways as a sum of consecutive naturals, for example, 72522 + ... + 73134.

Almost surely, 244643564 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 44643564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68613272).

44643564 is an abundant number, since it is smaller than the sum of its proper divisors (92582980).

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

44643564 is a wasteful number, since it uses less digits than its factorization.

44643564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 642 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 44643564 is about 6681.5839439462. The cubic root of 44643564 is about 354.7477252840.

The spelling of 44643564 in words is "forty-four million, six hundred forty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 613 714 867 1071 1156 1226 1428 1734 1839 2023 2142 2452 2601 3468 3678 4046 4284 4291 5202 5517 6069 7356 8092 8582 10404 10421 11034 12138 12873 17164 18207 20842 22068 24276 25746 31263 36414 38619 41684 51492 62526 72828 72947 77238 93789 125052 145894 154476 177157 187578 218841 291788 354314 375156 437682 531471 656523 708628 875364 1062942 1240099 1313046 1594413 2125884 2480198 2626092 3188826 3720297 4960396 6377652 7440594 11160891 14881188 22321782 44643564