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45650880 = 26325112131
BaseRepresentation
bin1010111000100…
…1001111000000
310011220022020100
42232021033000
543141312010
64310242400
71063011642
oct256111700
9104808210
1045650880
1123850200
1213356400
1395c4972
1460c4892
15401b2c0
hex2b893c0

45650880 has 252 divisors, whose sum is σ = 173909736. Its totient is φ = 10982400.

The previous prime is 45650873. The next prime is 45650903. The reversal of 45650880 is 8805654.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 348415 + ... + 348545.

It is an arithmetic number, because the mean of its divisors is an integer number (690118).

Almost surely, 245650880 is an apocalyptic number.

45650880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86954868).

45650880 is an abundant number, since it is smaller than the sum of its proper divisors (128258856).

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

45650880 is a wasteful number, since it uses less digits than its factorization.

45650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45650880 is about 6756.5434950128. The cubic root of 45650880 is about 357.3960249897.

The spelling of 45650880 in words is "forty-five million, six hundred fifty thousand, eight hundred eighty".