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45534032 = 24191011483
BaseRepresentation
bin1010110110110…
…0101101010000
310011200100221122
42231230231100
543124042112
64303541412
71062014165
oct255545520
9104610848
1045534032
1123780435
12132ba868
13958371b
14609406c
153ee6872
hex2b6cb50

45534032 has 40 divisors (see below), whose sum is σ = 93848160. Its totient is φ = 21340800.

The previous prime is 45534029. The next prime is 45534059. The reversal of 45534032 is 23043554.

45534032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45533992 and 45534010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29963 + ... + 31445.

It is an arithmetic number, because the mean of its divisors is an integer number (2346204).

Almost surely, 245534032 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 45534032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46924080).

45534032 is an abundant number, since it is smaller than the sum of its proper divisors (48314128).

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

45534032 is a wasteful number, since it uses less digits than its factorization.

45534032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 45534032 is about 6747.8909297646. The cubic root of 45534032 is about 357.0908341444.

Adding to 45534032 its reverse (23043554), we get a palindrome (68577586).

The spelling of 45534032 in words is "forty-five million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 808 1483 1616 1919 2966 3838 5932 7676 11864 15352 23728 28177 30704 56354 112708 149783 225416 299566 450832 599132 1198264 2396528 2845877 5691754 11383508 22767016 45534032