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45528105 = 35738849
BaseRepresentation
bin1010110110101…
…1010000101001
310011200001211010
42231223100221
543123344410
64303454133
71061661000
oct255532051
9104601733
1045528105
1123776a37
12132b7349
139580b0c
146091c37
153ee4c20
hex2b6b429

45528105 has 32 divisors (see below), whose sum is σ = 84960000. Its totient is φ = 20810496.

The previous prime is 45528089. The next prime is 45528127. The reversal of 45528105 is 50182554.

45528105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45528105 - 24 = 45528089 is a prime.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 721 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (2655000).

Almost surely, 245528105 is an apocalyptic number.

It is an amenable number.

45528105 is a deficient number, since it is larger than the sum of its proper divisors (39431895).

45528105 is an equidigital number, since it uses as much as digits as its factorization.

45528105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8864 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 45528105 is about 6747.4517412131. The cubic root of 45528105 is about 357.0753397320.

The spelling of 45528105 in words is "forty-five million, five hundred twenty-eight thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 5145 8849 26547 44245 61943 132735 185829 309715 433601 929145 1300803 2168005 3035207 6504015 9105621 15176035 45528105