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45137105 = 5134116937
BaseRepresentation
bin1010110000101…
…1110011010001
310010221012110122
42230023303101
543023341410
64251240025
71055442026
oct254136321
9103835418
1045137105
112352a1a2
1213149015
139474b60
145dcd54d
153e68e55
hex2b0bcd1

45137105 has 16 divisors (see below), whose sum is σ = 59757264. Its totient is φ = 32517120.

The previous prime is 45137101. The next prime is 45137111. The reversal of 45137105 is 50173154.

45137105 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 8 ways, for example, as 15499969 + 29637136 = 3937^2 + 5444^2 .

It is not a de Polignac number, because 45137105 - 22 = 45137101 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45137101) by changing a digit.

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, 5804 + ... + 11133.

It is an arithmetic number, because the mean of its divisors is an integer number (3734829).

Almost surely, 245137105 is an apocalyptic number.

It is an amenable number.

45137105 is a deficient number, since it is larger than the sum of its proper divisors (14620159).

45137105 is a wasteful number, since it uses less digits than its factorization.

45137105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16996.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 45137105 is about 6718.4153637595. The cubic root of 45137105 is about 356.0501996500.

The spelling of 45137105 in words is "forty-five million, one hundred thirty-seven thousand, one hundred five".

Divisors: 1 5 13 41 65 205 533 2665 16937 84685 220181 694417 1100905 3472085 9027421 45137105