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8082822 = 23112941103
BaseRepresentation
bin11110110101010110000110
3120012122112210
4132311112012
54032122242
6445124250
7125463036
oct36652606
916178483
108082822
114620820
122859686
1318a0047
1411058c6
15a99d9c
hex7b5586

8082822 has 64 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2284800.

The previous prime is 8082817. The next prime is 8082827. The reversal of 8082822 is 2282808.

It is an interprime number because it is at equal distance from previous prime (8082817) and next prime (8082827).

It is a super-2 number, since 2×80828222 = 130664022967368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8082822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082827) 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 31 ways as a sum of consecutive naturals, for example, 78423 + ... + 78525.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 28082822 is an apocalyptic number.

8082822 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

8082822 is an abundant number, since it is smaller than the sum of its proper divisors (10786938).

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

8082822 is a wasteful number, since it uses less digits than its factorization.

8082822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8082822 is about 2843.0304254439. The cubic root of 8082822 is about 200.6878151731.

The spelling of 8082822 in words is "eight million, eighty-two thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 103 123 174 206 246 309 319 451 618 638 902 957 1133 1189 1353 1914 2266 2378 2706 2987 3399 3567 4223 5974 6798 7134 8446 8961 12669 13079 17922 25338 26158 32857 39237 46453 65714 78474 92906 98571 122467 139359 197142 244934 278718 367401 734802 1347137 2694274 4041411 8082822