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45723048 = 23371272143
BaseRepresentation
bin1010111001101…
…0110110101000
310012000222020020
42232122312220
543201114143
64312000440
71063432230
oct256326650
9105028206
1045723048
112389a448
1213390120
13961b777
146102cc0
154032883
hex2b9ada8

45723048 has 64 divisors (see below), whose sum is σ = 131727360. Its totient is φ = 12954816.

The previous prime is 45723043. The next prime is 45723049. The reversal of 45723048 is 84032754.

It is not an unprimeable number, because it can be changed into a prime (45723043) 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, 20265 + ... + 22407.

It is an arithmetic number, because the mean of its divisors is an integer number (2058240).

Almost surely, 245723048 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 45723048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65863680).

45723048 is an abundant number, since it is smaller than the sum of its proper divisors (86004312).

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

45723048 is a wasteful number, since it uses less digits than its factorization.

45723048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45723048 is about 6761.8819865478. The cubic root of 45723048 is about 357.5842577738.

The spelling of 45723048 in words is "forty-five million, seven hundred twenty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2143 2667 3048 3556 4286 5334 6429 7112 8572 10668 12858 15001 17144 21336 25716 30002 45003 51432 60004 90006 120008 180012 272161 360024 544322 816483 1088644 1632966 1905127 2177288 3265932 3810254 5715381 6531864 7620508 11430762 15241016 22861524 45723048