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82082308 = 227112311587
BaseRepresentation
bin1001110010001…
…11101000000100
312201110012202111
410321013220010
5132003113213
612051150404
72014455010
oct471075004
9181405674
1082082308
1142373720
12235a5404
131400c119
14ac89540
157315a3d
hex4e47a04

82082308 has 48 divisors (see below), whose sum is σ = 186891264. Its totient is φ = 30587040.

The previous prime is 82082281. The next prime is 82082309. The reversal of 82082308 is 80328028.

It is a self number, because there is not a number n which added to its sum of digits gives 82082308.

It is not an unprimeable number, because it can be changed into a prime (82082309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1291 + ... + 12877.

It is an arithmetic number, because the mean of its divisors is an integer number (3893568).

Almost surely, 282082308 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 82082308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93445632).

82082308 is an abundant number, since it is smaller than the sum of its proper divisors (104808956).

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

82082308 is a wasteful number, since it uses less digits than its factorization.

82082308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11632 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 82082308 is about 9059.9286972912. The cubic root of 82082308 is about 434.5934599614.

The spelling of 82082308 in words is "eighty-two million, eighty-two thousand, three hundred eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 7084 11587 23174 46348 81109 127457 162218 254914 266501 324436 509828 533002 892199 1066004 1784398 1865507 2931511 3568796 3731014 5863022 7462028 11726044 20520577 41041154 82082308