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82066461 = 3234129009
BaseRepresentation
bin1001110010000…
…11110000011101
312201102102000120
410321003300131
5132002111321
612050545153
72014360551
oct471036035
9181372016
1082066461
1142362824
12235981b9
1314004b49
14ac83861
157310ec6
hex4e43c1d

82066461 has 16 divisors (see below), whose sum is σ = 116968320. Its totient is φ = 51054080.

The previous prime is 82066459. The next prime is 82066469. The reversal of 82066461 is 16466028.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82066461 - 21 = 82066459 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82066469) 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 15 ways as a sum of consecutive naturals, for example, 11676 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (7310520).

Almost surely, 282066461 is an apocalyptic number.

It is an amenable number.

82066461 is a deficient number, since it is larger than the sum of its proper divisors (34901859).

82066461 is a wasteful number, since it uses less digits than its factorization.

82066461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29076.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82066461 is about 9059.0540896939. The cubic root of 82066461 is about 434.5654902889.

The spelling of 82066461 in words is "eighty-two million, sixty-six thousand, four hundred sixty-one".

Divisors: 1 3 23 41 69 123 943 2829 29009 87027 667207 1189369 2001621 3568107 27355487 82066461