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45052112 = 247419811
BaseRepresentation
bin1010101111011…
…1000011010000
310010202212212202
42223313003100
543013131422
64245342332
71054636160
oct253670320
9103685782
1045052112
1123481356
12131079a8
139445271
145daa5a0
153e4db92
hex2af70d0

45052112 has 40 divisors (see below), whose sum is σ = 102201792. Its totient is φ = 18835200.

The previous prime is 45052103. The next prime is 45052129. The reversal of 45052112 is 21125054.

45052112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 314 + ... + 9497.

Almost surely, 245052112 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 45052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51100896).

45052112 is an abundant number, since it is smaller than the sum of its proper divisors (57149680).

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

45052112 is a wasteful number, since it uses less digits than its factorization.

45052112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9867 (or 9861 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 45052112 is about 6712.0870077793. The cubic root of 45052112 is about 355.8265788337.

Adding to 45052112 its reverse (21125054), we get a palindrome (66177166).

The spelling of 45052112 in words is "forty-five million, fifty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 9811 19622 39244 68677 78488 137354 156976 274708 402251 549416 804502 1098832 1609004 2815757 3218008 5631514 6436016 11263028 22526056 45052112