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45005392 = 241729733
BaseRepresentation
bin1010101110101…
…1101001010000
310010200111210101
42223223221100
543010133032
64244342144
71054353025
oct253535120
9103614711
1045005392
112344a243
12130a4954
139429c13
145d9754c
153e3ede7
hex2aeba50

45005392 has 30 divisors (see below), whose sum is σ = 92638478. Its totient is φ = 21176832.

The previous prime is 45005383. The next prime is 45005393. The reversal of 45005392 is 29350054.

45005392 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 3 ways, for example, as 27499536 + 17505856 = 5244^2 + 4184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45005392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45005393) 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 5 ways as a sum of consecutive naturals, for example, 243 + ... + 9490.

Almost surely, 245005392 is an apocalyptic number.

It is an amenable number.

45005392 is an abundant number, since it is smaller than the sum of its proper divisors (47633086).

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

45005392 is a wasteful number, since it uses less digits than its factorization.

45005392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775 (or 9752 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 45005392 is about 6708.6058164122. The cubic root of 45005392 is about 355.7035363770.

The spelling of 45005392 in words is "forty-five million, five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 9733 19466 38932 77864 155728 165461 330922 661844 1323688 2647376 2812837 5625674 11251348 22502696 45005392