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45059520 = 26351117251
BaseRepresentation
bin1010101111100…
…0110111000000
310010210021001010
42223320313000
543013401040
64245440520
71054666602
oct253706700
9103707033
1045059520
1123486980
1213110140
13944874c
145dad172
153e50e80
hex2af8dc0

45059520 has 224 divisors, whose sum is σ = 165908736. Its totient is φ = 10240000.

The previous prime is 45059501. The next prime is 45059549. The reversal of 45059520 is 2595054.

It is a happy number.

45059520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179395 + ... + 179645.

It is an arithmetic number, because the mean of its divisors is an integer number (740664).

Almost surely, 245059520 is an apocalyptic number.

45059520 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 45059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82954368).

45059520 is an abundant number, since it is smaller than the sum of its proper divisors (120849216).

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

45059520 is a wasteful number, since it uses less digits than its factorization.

45059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 45059520 is about 6712.6388253801. The cubic root of 45059520 is about 355.8460808335.

The spelling of 45059520 in words is "forty-five million, fifty-nine thousand, five hundred twenty".