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45057324 = 22313367787
BaseRepresentation
bin1010101111100…
…0010100101100
310010210011000210
42223320110230
543013313244
64245422420
71054660314
oct253702454
9103704023
1045057324
1123485264
121310aa10
139447750
145dac444
153e504b9
hex2af852c

45057324 has 48 divisors (see below), whose sum is σ = 113673728. Its totient is φ = 13808448.

The previous prime is 45057323. The next prime is 45057371. The reversal of 45057324 is 42375054.

45057324 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 = 45057291 and 45057300.

It is not an unprimeable number, because it can be changed into a prime (45057323) 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, 56859 + ... + 57645.

Almost surely, 245057324 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 45057324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56836864).

45057324 is an abundant number, since it is smaller than the sum of its proper divisors (68616404).

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

45057324 is a wasteful number, since it uses less digits than its factorization.

45057324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 45057324 is about 6712.4752513510. The cubic root of 45057324 is about 355.8402999561.

The spelling of 45057324 in words is "forty-five million, fifty-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 367 734 787 1101 1468 1574 2202 2361 3148 4404 4722 4771 9444 9542 10231 14313 19084 20462 28626 30693 40924 57252 61386 122772 288829 577658 866487 1155316 1732974 3465948 3754777 7509554 11264331 15019108 22528662 45057324