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44635668 = 223721167103
BaseRepresentation
bin1010101001000…
…1011000010100
310002222201121220
42222101120110
542411320133
64232410340
71051253100
oct252213024
9102881556
1044635668
1123217490
1212b469b0
13932a84c
145cdc900
153dba5b3
hex2a91614

44635668 has 144 divisors (see below), whose sum is σ = 135442944. Its totient is φ = 11309760.

The previous prime is 44635667. The next prime is 44635673. The reversal of 44635668 is 86653644.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44635667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433305 + ... + 433407.

It is an arithmetic number, because the mean of its divisors is an integer number (940576).

Almost surely, 244635668 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 44635668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67721472).

44635668 is an abundant number, since it is smaller than the sum of its proper divisors (90807276).

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

44635668 is a wasteful number, since it uses less digits than its factorization.

44635668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 44635668 is about 6680.9930399605. The cubic root of 44635668 is about 354.7268095913.

The spelling of 44635668 in words is "forty-four million, six hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 67 77 84 98 103 132 134 147 154 196 201 206 231 268 294 308 309 402 412 462 469 539 588 618 721 737 804 924 938 1078 1133 1236 1407 1442 1474 1617 1876 2156 2163 2211 2266 2814 2884 2948 3234 3283 3399 4326 4422 4532 5047 5159 5628 6468 6566 6798 6901 7931 8652 8844 9849 10094 10318 13132 13596 13802 15141 15477 15862 19698 20188 20636 20703 23793 27604 30282 30954 31724 36113 39396 41406 47586 48307 55517 60564 61908 72226 75911 82812 95172 96614 108339 111034 144452 144921 151822 166551 193228 216678 222068 227733 289842 303644 333102 338149 433356 455466 531377 579684 666204 676298 910932 1014447 1062754 1352596 1594131 2028894 2125508 3188262 3719639 4057788 6376524 7439278 11158917 14878556 22317834 44635668