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45175768 = 23111941659
BaseRepresentation
bin1010110001010…
…1001111011000
310011000011111121
42230111033120
543031111033
64252135024
71055662531
oct254251730
9104004447
1045175768
1123556250
1213167474
139489631
145ddd688
153e7562d
hex2b153d8

45175768 has 64 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 18950400.

The previous prime is 45175751. The next prime is 45175771. The reversal of 45175768 is 86757154.

45175768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 68223 + ... + 68881.

It is an arithmetic number, because the mean of its divisors is an integer number (1559250).

Almost surely, 245175768 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 45175768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

45175768 is an abundant number, since it is smaller than the sum of its proper divisors (54616232).

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

45175768 is a wasteful number, since it uses less digits than its factorization.

45175768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 732 counting only the distinct ones).

The product of its digits is 235200, while the sum is 43.

The square root of 45175768 is about 6721.2921376771. The cubic root of 45175768 is about 356.1518310405.

The spelling of 45175768 in words is "forty-five million, one hundred seventy-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 41 44 76 82 88 152 164 209 328 418 451 659 779 836 902 1318 1558 1672 1804 2636 3116 3608 5272 6232 7249 8569 12521 14498 17138 25042 27019 28996 34276 50084 54038 57992 68552 100168 108076 137731 216152 275462 297209 513361 550924 594418 1026722 1101848 1188836 2053444 2377672 4106888 5646971 11293942 22587884 45175768