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82758168 = 23327116189
BaseRepresentation
bin1001110111011…
…00101000011000
312202201112212100
410323230220120
5132141230133
612113443400
72023301313
oct473545030
9182645770
1082758168
1142795489
1223870560
13141b793c
14adc397a
1573eae13
hex4eeca18

82758168 has 48 divisors (see below), whose sum is σ = 227307600. Its totient is φ = 27195840.

The previous prime is 82758161. The next prime is 82758173. The reversal of 82758168 is 86185728.

82758168 is a `hidden beast` number, since 8 + 2 + 7 + 581 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82758161) 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 11 ways as a sum of consecutive naturals, for example, 2983 + ... + 13206.

It is an arithmetic number, because the mean of its divisors is an integer number (4735575).

Almost surely, 282758168 is an apocalyptic number.

It is an amenable number.

82758168 is an abundant number, since it is smaller than the sum of its proper divisors (144549432).

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

82758168 is a wasteful number, since it uses less digits than its factorization.

82758168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272 (or 16265 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 82758168 is about 9097.1516421350. The cubic root of 82758168 is about 435.7830051144.

The spelling of 82758168 in words is "eighty-two million, seven hundred fifty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 16189 32378 48567 64756 97134 129512 145701 194268 291402 388536 582804 1149419 1165608 2298838 3448257 4597676 6896514 9195352 10344771 13793028 20689542 27586056 41379084 82758168