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82185669 = 3253172297
BaseRepresentation
bin1001110011000…
…00110111000101
312201122110112200
410321200313011
5132014420134
612053305113
72015365236
oct471406705
9181573480
1082185669
1142434345
1223635199
1314047197
14acb508d
157336499
hex4e60dc5

82185669 has 12 divisors (see below), whose sum is σ = 120953196. Its totient is φ = 53756352.

The previous prime is 82185641. The next prime is 82185671. The reversal of 82185669 is 96658128.

82185669 is a `hidden beast` number, since 82 + 1 + 8 + 566 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19980900 + 62204769 = 4470^2 + 7887^2 .

It is not a de Polignac number, because 82185669 - 27 = 82185541 is a prime.

It is a super-2 number, since 2×821856692 = 13508968377955122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82185679) 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, 85672 + ... + 86625.

It is an arithmetic number, because the mean of its divisors is an integer number (10079433).

Almost surely, 282185669 is an apocalyptic number.

It is an amenable number.

82185669 is a deficient number, since it is larger than the sum of its proper divisors (38767527).

82185669 is a wasteful number, since it uses less digits than its factorization.

82185669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172356 (or 172353 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 82185669 is about 9065.6311969989. The cubic root of 82185669 is about 434.7758020272.

The spelling of 82185669 in words is "eighty-two million, one hundred eighty-five thousand, six hundred sixty-nine".

Divisors: 1 3 9 53 159 477 172297 516891 1550673 9131741 27395223 82185669