Search a number
-
+
82389168 = 24321930113
BaseRepresentation
bin1001110100100…
…10100010110000
312202000210200200
410322102202300
5132042423133
612101515200
72020203441
oct472224260
9182023620
1082389168
1142563224
1223712b00
13140b89b4
14ad292c8
157376913
hex4e928b0

82389168 has 60 divisors (see below), whose sum is σ = 242718840. Its totient is φ = 26016768.

The previous prime is 82389133. The next prime is 82389173. The reversal of 82389168 is 86198328.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12321 + ... + 17792.

It is an arithmetic number, because the mean of its divisors is an integer number (4045314).

Almost surely, 282389168 is an apocalyptic number.

It is an amenable number.

82389168 is an abundant number, since it is smaller than the sum of its proper divisors (160329672).

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

82389168 is a wasteful number, since it uses less digits than its factorization.

82389168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30146 (or 30137 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 82389168 is about 9076.8479110317. The cubic root of 82389168 is about 435.1343540600.

The spelling of 82389168 in words is "eighty-two million, three hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 30113 60226 90339 120452 180678 240904 271017 361356 481808 542034 572147 722712 1084068 1144294 1445424 1716441 2168136 2288588 3432882 4336272 4577176 5149323 6865764 9154352 10298646 13731528 20597292 27463056 41194584 82389168