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45383520 = 25357131039
BaseRepresentation
bin1010110100011…
…1111101100000
310011101201111010
42231013331200
543104233040
64300420520
71060516320
oct255077540
9104351433
1045383520
1123688346
1213247740
139530070
146055280
153eb6e80
hex2b47f60

45383520 has 192 divisors, whose sum is σ = 176117760. Its totient is φ = 9566208.

The previous prime is 45383501. The next prime is 45383537. The reversal of 45383520 is 2538354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43161 + ... + 44199.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 245383520 is an apocalyptic number.

45383520 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 45383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

45383520 is an abundant number, since it is smaller than the sum of its proper divisors (130734240).

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

45383520 is a wasteful number, since it uses less digits than its factorization.

45383520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 45383520 is about 6736.7291766851. The cubic root of 45383520 is about 356.6969471870.

The spelling of 45383520 in words is "forty-five million, three hundred eighty-three thousand, five hundred twenty".