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79866 = 2341729
BaseRepresentation
bin10011011111111010
311001120000
4103133322
510023431
61413430
7451563
oct233772
9131500
1079866
1155006
123a276
132a477
142116a
15189e6
hex137fa

79866 has 40 divisors (see below), whose sum is σ = 196020. Its totient is φ = 24192.

The previous prime is 79861. The next prime is 79867. The reversal of 79866 is 66897.

It can be written as a sum of positive squares in 2 ways, for example, as 77841 + 2025 = 279^2 + 45^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 79866.

It is not an unprimeable number, because it can be changed into a prime (79861) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2740 + ... + 2768.

279866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98010).

79866 is an abundant number, since it is smaller than the sum of its proper divisors (116154).

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

79866 is a wasteful number, since it uses less digits than its factorization.

79866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 79866 is about 282.6057324259. The cubic root of 79866 is about 43.0646225018.

The spelling of 79866 in words is "seventy-nine thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 261 306 459 493 522 783 918 986 1377 1479 1566 2349 2754 2958 4437 4698 8874 13311 26622 39933 79866