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44085216 = 2537172227
BaseRepresentation
bin1010100000101…
…0111111100000
310001221202112210
42220022333200
542241211331
64212522120
71043501220
oct250127740
9101852483
1044085216
112298096a
1212920340
139197136
145bd8080
153d0c446
hex2a0afe0

44085216 has 144 divisors (see below), whose sum is σ = 141111936. Its totient is φ = 11802624.

The previous prime is 44085179. The next prime is 44085221. The reversal of 44085216 is 61258044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194095 + ... + 194321.

It is an arithmetic number, because the mean of its divisors is an integer number (979944).

Almost surely, 244085216 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 44085216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70555968).

44085216 is an abundant number, since it is smaller than the sum of its proper divisors (97026720).

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

44085216 is a wasteful number, since it uses less digits than its factorization.

44085216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 44085216 is about 6639.6698713114. The cubic root of 44085216 is about 353.2625972872.

The spelling of 44085216 in words is "forty-four million, eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 227 238 272 289 336 357 408 454 476 544 578 672 681 714 816 867 908 952 1156 1362 1428 1589 1632 1734 1816 1904 2023 2312 2724 2856 3178 3468 3632 3808 3859 4046 4624 4767 5448 5712 6069 6356 6936 7264 7718 8092 9248 9534 10896 11424 11577 12138 12712 13872 15436 16184 19068 21792 23154 24276 25424 27013 27744 30872 32368 38136 46308 48552 50848 54026 61744 64736 65603 76272 81039 92616 97104 108052 123488 131206 152544 162078 185232 194208 196809 216104 262412 324156 370464 393618 432208 459221 524824 648312 787236 864416 918442 1049648 1296624 1377663 1574472 1836884 2099296 2593248 2755326 3148944 3673768 5510652 6297888 7347536 11021304 14695072 22042608 44085216