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45427560 = 2335834561
BaseRepresentation
bin1010110101001…
…0101101101000
310011110221220020
42231102231220
543112140220
64301400440
71061061603
oct255225550
9104427806
1045427560
1123708442
1213269120
139547119
14606733a
153ec5040
hex2b52b68

45427560 has 64 divisors (see below), whose sum is σ = 137954880. Its totient is φ = 11965440.

The previous prime is 45427559. The next prime is 45427579. The reversal of 45427560 is 6572454.

45427560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7680 + ... + 12240.

It is an arithmetic number, because the mean of its divisors is an integer number (2155545).

Almost surely, 245427560 is an apocalyptic number.

45427560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45427560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68977440).

45427560 is an abundant number, since it is smaller than the sum of its proper divisors (92527320).

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

45427560 is a wasteful number, since it uses less digits than its factorization.

45427560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45427560 is about 6739.9970326403. The cubic root of 45427560 is about 356.8122890188.

The spelling of 45427560 in words is "forty-five million, four hundred twenty-seven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4561 4980 9122 9960 13683 18244 22805 27366 36488 45610 54732 68415 91220 109464 136830 182440 273660 378563 547320 757126 1135689 1514252 1892815 2271378 3028504 3785630 4542756 5678445 7571260 9085512 11356890 15142520 22713780 45427560