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45065856 = 2731147227
BaseRepresentation
bin1010101111101…
…0011010000000
310010210120201210
42223322122000
543014101411
64245530120
71055024223
oct253723200
9103716653
1045065856
1123490710
1213113940
13944b5b4
145db15ba
153e52ca6
hex2afa680

45065856 has 128 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 13306880.

The previous prime is 45065851. The next prime is 45065879. The reversal of 45065856 is 65856054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45065851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198415 + ... + 198641.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 245065856 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 45065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

45065856 is an abundant number, since it is smaller than the sum of its proper divisors (88888704).

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

45065856 is a wasteful number, since it uses less digits than its factorization.

45065856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 45065856 is about 6713.1107543374. The cubic root of 45065856 is about 355.8627590338.

The spelling of 45065856 in words is "forty-five million, sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 227 264 282 352 376 384 454 517 528 564 681 704 752 908 1034 1056 1128 1362 1408 1504 1551 1816 2068 2112 2256 2497 2724 3008 3102 3632 4136 4224 4512 4994 5448 6016 6204 7264 7491 8272 9024 9988 10669 10896 12408 14528 14982 16544 18048 19976 21338 21792 24816 29056 29964 32007 33088 39952 42676 43584 49632 59928 64014 66176 79904 85352 87168 99264 117359 119856 128028 159808 170704 198528 234718 239712 256056 319616 341408 352077 469436 479424 512112 682816 704154 938872 958848 1024224 1365632 1408308 1877744 2048448 2816616 3755488 4096896 5633232 7510976 11266464 15021952 22532928 45065856