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45524385 = 3251759509
BaseRepresentation
bin1010110110101…
…0010110100001
310011122212201100
42231222112201
543123240020
64303425013
71061644104
oct255522641
9104585640
1045524385
1123774165
12132b5169
13957c20a
14609073b
153ee3a90
hex2b6a5a1

45524385 has 24 divisors (see below), whose sum is σ = 83552040. Its totient is φ = 22851072.

The previous prime is 45524377. The next prime is 45524411. The reversal of 45524385 is 58342554.

45524385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 43996689 = 1236^2 + 6633^2 .

It is not a de Polignac number, because 45524385 - 23 = 45524377 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 28990 + ... + 30519.

It is an arithmetic number, because the mean of its divisors is an integer number (3481335).

Almost surely, 245524385 is an apocalyptic number.

45524385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45524385 is a deficient number, since it is larger than the sum of its proper divisors (38027655).

45524385 is a wasteful number, since it uses less digits than its factorization.

45524385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59537 (or 59534 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 45524385 is about 6747.1760759595. The cubic root of 45524385 is about 357.0656141903.

The spelling of 45524385 in words is "forty-five million, five hundred twenty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 59509 178527 297545 535581 892635 1011653 2677905 3034959 5058265 9104877 15174795 45524385