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45391392 = 25323972
BaseRepresentation
bin1010110100100…
…1111000100000
310011102010021200
42231021320200
543110011032
64300521200
71060551264
oct255117040
9104363250
1045391392
1123693252
1213250200
139533817
1460580a4
153eb947c
hex2b49e20

45391392 has 54 divisors (see below), whose sum is σ = 129407733. Its totient is φ = 15092352.

The previous prime is 45391391. The next prime is 45391421. The reversal of 45391392 is 29319354.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 1354896 = 6636^2 + 1164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4764.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (29160) is a multiple of the sum of its prime factors (810).

It is not an unprimeable number, because it can be changed into a prime (45391391) 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 8 ways as a sum of consecutive naturals, for example, 114138 + ... + 114534.

Almost surely, 245391392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45391392

45391392 is an abundant number, since it is smaller than the sum of its proper divisors (84016341).

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

45391392 is an equidigital number, since it uses as much as digits as its factorization.

45391392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 402 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 45391392 is about 6737.3134111454. The cubic root of 45391392 is about 356.7175696217.

The spelling of 45391392 in words is "forty-five million, three hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 397 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 12704 14292 19056 28584 38112 57168 114336 157609 315218 472827 630436 945654 1260872 1418481 1891308 2521744 2836962 3782616 5043488 5673924 7565232 11347848 15130464 22695696 45391392