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45153090 = 2325501701
BaseRepresentation
bin1010110000111…
…1101101000010
310010222000101200
42230033231002
543024344330
64251442030
71055536443
oct254175502
9103860350
1045153090
1123540204
1213156316
13947c208
145dd52ca
153e6da60
hex2b0fb42

45153090 has 24 divisors (see below), whose sum is σ = 117398268. Its totient is φ = 12040800.

The previous prime is 45153083. The next prime is 45153091. The reversal of 45153090 is 9035154.

45153090 is a `hidden beast` number, since 45 + 1 + 530 + 90 = 666.

45153090 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 41100921 + 4052169 = 6411^2 + 2013^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45153091) 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, 250761 + ... + 250940.

Almost surely, 245153090 is an apocalyptic number.

45153090 is an abundant number, since it is smaller than the sum of its proper divisors (72245178).

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

45153090 is a wasteful number, since it uses less digits than its factorization.

45153090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501714 (or 501711 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 45153090 is about 6719.6048990994. The cubic root of 45153090 is about 356.0922256114.

The spelling of 45153090 in words is "forty-five million, one hundred fifty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 501701 1003402 1505103 2508505 3010206 4515309 5017010 7525515 9030618 15051030 22576545 45153090