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8200000082 = 217415882353
BaseRepresentation
bin1111010001100001…
…00001001001010010
3210011110202011102202
413220300201021102
5113243200000312
63433402243202
7410126564531
oct75060411122
923143664382
108200000082
11352876047a
12170a1b6502
13a08aca471
1457b08a318
1532ed549c2
hex1e8c21252

8200000082 has 16 divisors (see below), whose sum is σ = 13341178872. Its totient is φ = 3764705280.

The previous prime is 8200000063. The next prime is 8200000117. The reversal of 8200000082 is 2800000028.

It can be written as a sum of positive squares in 4 ways, for example, as 7076342641 + 1123657441 = 84121^2 + 33521^2 .

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 7 ways as a sum of consecutive naturals, for example, 2939783 + ... + 2942570.

Almost surely, 28200000082 is an apocalyptic number.

8200000082 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

8200000082 is a deficient number, since it is larger than the sum of its proper divisors (5141178790).

8200000082 is a wasteful number, since it uses less digits than its factorization.

8200000082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882413.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8200000082 is about 90553.8518341434. The cubic root of 8200000082 is about 2016.5296819399.

It can be divided in two parts, 82000000 and 82, that multiplied together give a square (6724000000 = 820002).

The spelling of 8200000082 in words is "eight billion, two hundred million, eighty-two", and thus it is an aban number.

Divisors: 1 2 17 34 41 82 697 1394 5882353 11764706 100000001 200000002 241176473 482352946 4100000041 8200000082