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45112064 = 28313563
BaseRepresentation
bin1010110000010…
…1101100000000
310010212221010012
42230011230000
543022041224
64250524052
71055306024
oct254055400
9103787105
1045112064
11235123a8
1213136628
13946663a
145dc4384
153e6180e
hex2b05b00

45112064 has 36 divisors (see below), whose sum is σ = 90496056. Its totient is φ = 22444032.

The previous prime is 45112009. The next prime is 45112069. The reversal of 45112064 is 46021154.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45112069) 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, 79847 + ... + 80409.

Almost surely, 245112064 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 45112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45248028).

45112064 is an abundant number, since it is smaller than the sum of its proper divisors (45383992).

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

45112064 is an equidigital number, since it uses as much as digits as its factorization.

45112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 45112064 is about 6716.5514961176. The cubic root of 45112064 is about 355.9843447225.

The spelling of 45112064 in words is "forty-five million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 313 563 626 1126 1252 2252 2504 4504 5008 9008 10016 18016 20032 36032 40064 72064 80128 144128 176219 352438 704876 1409752 2819504 5639008 11278016 22556032 45112064