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45055616 = 271312687
BaseRepresentation
bin1010101111011…
…1111010000000
310010210001200112
42223313322000
543013234431
64245410452
71054652324
oct253677200
9103701615
1045055616
1123483a51
1213109a28
139446a38
145dab984
153e4ec2b
hex2af7e80

45055616 has 32 divisors (see below), whose sum is σ = 90478080. Its totient is φ = 22347520.

The previous prime is 45055613. The next prime is 45055639. The reversal of 45055616 is 61655054.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45055613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15425 + ... + 18111.

It is an arithmetic number, because the mean of its divisors is an integer number (2827440).

Almost surely, 245055616 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 45055616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45239040).

45055616 is an abundant number, since it is smaller than the sum of its proper divisors (45422464).

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

45055616 is a wasteful number, since it uses less digits than its factorization.

45055616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 45055616 is about 6712.3480243503. The cubic root of 45055616 is about 355.8358035882.

The spelling of 45055616 in words is "forty-five million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 2687 4192 5374 8384 10748 16768 21496 42992 85984 171968 343936 351997 703994 1407988 2815976 5631952 11263904 22527808 45055616