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45066340 = 22511792593
BaseRepresentation
bin1010101111101…
…0100001100100
310010210121101201
42223322201210
543014110330
64245532244
71055025514
oct253724144
9103717351
1045066340
1123491010
1213114084
13944b897
145db1844
153e52eca
hex2afa864

45066340 has 48 divisors (see below), whose sum is σ = 104590080. Its totient is φ = 16174080.

The previous prime is 45066323. The next prime is 45066341. The reversal of 45066340 is 4366054.

45066340 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 = 45066299 and 45066308.

It is not an unprimeable number, because it can be changed into a prime (45066341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16084 + ... + 18676.

It is an arithmetic number, because the mean of its divisors is an integer number (2178960).

Almost surely, 245066340 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 45066340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52295040).

45066340 is an abundant number, since it is smaller than the sum of its proper divisors (59523740).

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

45066340 is a wasteful number, since it uses less digits than its factorization.

45066340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 45066340 is about 6713.1468031021. The cubic root of 45066340 is about 355.8640329987.

The spelling of 45066340 in words is "forty-five million, sixty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 2593 3476 4345 5186 8690 10372 12965 17380 25930 28523 51860 57046 114092 142615 204847 285230 409694 570460 819388 1024235 2048470 2253317 4096940 4506634 9013268 11266585 22533170 45066340