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45105642 = 2324495581
BaseRepresentation
bin1010110000010…
…0000111101010
310010212121022100
42230010013222
543021340032
64250434230
71055251221
oct254040752
9103777270
1045105642
112350859a
1213132976
13946373a
145dc1cb8
153e5e97c
hex2b041ea

45105642 has 24 divisors (see below), whose sum is σ = 97964100. Its totient is φ = 14999040.

The previous prime is 45105631. The next prime is 45105647. The reversal of 45105642 is 24650154.

45105642 is a `hidden beast` number, since 4 + 5 + 10 + 5 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45037521 + 68121 = 6711^2 + 261^2 .

It is not an unprimeable number, because it can be changed into a prime (45105647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5292 + ... + 10872.

Almost surely, 245105642 is an apocalyptic number.

45105642 is an abundant number, since it is smaller than the sum of its proper divisors (52858458).

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

45105642 is a wasteful number, since it uses less digits than its factorization.

45105642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45105642 is about 6716.0734063886. The cubic root of 45105642 is about 355.9674516807.

Adding to 45105642 its reverse (24650154), we get a palindrome (69755796).

The spelling of 45105642 in words is "forty-five million, one hundred five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 449 898 1347 2694 4041 5581 8082 11162 16743 33486 50229 100458 2505869 5011738 7517607 15035214 22552821 45105642