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45528336 = 2432731247
BaseRepresentation
bin1010110110101…
…1010100010000
310011200002010200
42231223110100
543123401321
64303455200
71061661450
oct255532420
9104602120
1045528336
1123777127
12132b7500
139580c59
146091d60
153ee4d26
hex2b6b510

45528336 has 180 divisors, whose sum is σ = 153668736. Its totient is φ = 12320640.

The previous prime is 45528331. The next prime is 45528361. The reversal of 45528336 is 63382554.

It is a happy number.

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

Its product of digits (86400) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 45528336.

It is not an unprimeable number, because it can be changed into a prime (45528331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 968665 + ... + 968711.

Almost surely, 245528336 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 45528336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76834368).

45528336 is an abundant number, since it is smaller than the sum of its proper divisors (108140400).

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

45528336 is a wasteful number, since it uses less digits than its factorization.

45528336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45528336 is about 6747.4688587647. The cubic root of 45528336 is about 357.0759436393.

The spelling of 45528336 in words is "forty-five million, five hundred twenty-eight thousand, three hundred thirty-six".