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45364690 = 257292581
BaseRepresentation
bin1010110100001…
…1010111010010
310011100202122201
42231003113102
543103132230
64300153414
71060410400
oct255032722
9104322581
1045364690
1123675188
121323886a
139524617
14604c470
153eb15ca
hex2b435d2

45364690 has 24 divisors (see below), whose sum is σ = 94989132. Its totient is φ = 15553440.

The previous prime is 45364681. The next prime is 45364691. The reversal of 45364690 is 9646354.

It is a happy number.

45364690 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 2 ways, for example, as 42471289 + 2893401 = 6517^2 + 1701^2 .

It is a super-2 number, since 2×453646902 = 4115910197592200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45364691) 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 11 ways as a sum of consecutive naturals, for example, 45801 + ... + 46780.

Almost surely, 245364690 is an apocalyptic number.

45364690 is an abundant number, since it is smaller than the sum of its proper divisors (49624442).

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

45364690 is a wasteful number, since it uses less digits than its factorization.

45364690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92602 (or 92595 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 45364690 is about 6735.3314692003. The cubic root of 45364690 is about 356.6476081857.

The spelling of 45364690 in words is "forty-five million, three hundred sixty-four thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 92581 185162 462905 648067 925810 1296134 3240335 4536469 6480670 9072938 22682345 45364690