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45517056 = 283134797
BaseRepresentation
bin1010110110100…
…0100100000000
310011122111122220
42231220210000
543123021211
64303331040
71061613534
oct255504400
9104574586
1045517056
1123769702
12132b0a80
139578a90
14608bbc4
153ee1806
hex2b68900

45517056 has 144 divisors (see below), whose sum is σ = 134609664. Its totient is φ = 13565952.

The previous prime is 45516997. The next prime is 45517057. The reversal of 45517056 is 65071554.

It is not an unprimeable number, because it can be changed into a prime (45517057) 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, 469200 + ... + 469296.

Almost surely, 245517056 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 45517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67304832).

45517056 is an abundant number, since it is smaller than the sum of its proper divisors (89092608).

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

45517056 is a wasteful number, since it uses less digits than its factorization.

45517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 45517056 is about 6746.6329379921. The cubic root of 45517056 is about 357.0464517544.

The spelling of 45517056 in words is "forty-five million, five hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 97 104 128 141 156 188 192 194 208 256 282 291 312 376 384 388 416 564 582 611 624 752 768 776 832 1128 1164 1222 1248 1261 1504 1552 1664 1833 2256 2328 2444 2496 2522 3008 3104 3328 3666 3783 4512 4559 4656 4888 4992 5044 6016 6208 7332 7566 9024 9118 9312 9776 9984 10088 12032 12416 13677 14664 15132 18048 18236 18624 19552 20176 24832 27354 29328 30264 36096 36472 37248 39104 40352 54708 58656 59267 60528 72944 74496 78208 80704 109416 117312 118534 121056 145888 156416 161408 177801 218832 234624 237068 242112 291776 322816 355602 437664 469248 474136 484224 583552 711204 875328 948272 968448 1167104 1422408 1750656 1896544 2844816 3501312 3793088 5689632 7586176 11379264 15172352 22758528 45517056