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82668341 = 724141149
BaseRepresentation
bin1001110110101…
…10101100110101
312202112222122102
410323112230311
5132130341331
612111511445
72022445400
oct473265465
9182488572
1082668341
1142733a48
1223828585
1314185aa2
14ad9cd37
1573ce4cb
hex4ed6b35

82668341 has 12 divisors (see below), whose sum is σ = 98513100. Its totient is φ = 69128640.

The previous prime is 82668293. The next prime is 82668361. The reversal of 82668341 is 14386628.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6105841 + 76562500 = 2471^2 + 8750^2 .

It is not a de Polignac number, because 82668341 - 26 = 82668277 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82668295 and 82668304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82668361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18566 + ... + 22583.

It is an arithmetic number, because the mean of its divisors is an integer number (8209425).

Almost surely, 282668341 is an apocalyptic number.

It is an amenable number.

82668341 is a deficient number, since it is larger than the sum of its proper divisors (15844759).

82668341 is a wasteful number, since it uses less digits than its factorization.

82668341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41204 (or 41197 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 82668341 is about 9092.2132069150. The cubic root of 82668341 is about 435.6252794889.

The spelling of 82668341 in words is "eighty-two million, six hundred sixty-eight thousand, three hundred forty-one".

Divisors: 1 7 41 49 287 2009 41149 288043 1687109 2016301 11809763 82668341