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82176666 = 23112138707
BaseRepresentation
bin1001110010111…
…10101010011010
312201122000012020
410321132222122
5132014123131
612053155310
72015330055
oct471365232
9181560166
1082176666
1142428600
122362bb36
1314043060
14acb1a9c
157333996
hex4e5ea9a

82176666 has 48 divisors (see below), whose sum is σ = 194571552. Its totient is φ = 22983840.

The previous prime is 82176643. The next prime is 82176671. The reversal of 82176666 is 66667128.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5085 + ... + 13791.

It is an arithmetic number, because the mean of its divisors is an integer number (4053574).

Almost surely, 282176666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82176666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97285776).

82176666 is an abundant number, since it is smaller than the sum of its proper divisors (112394886).

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

82176666 is a wasteful number, since it uses less digits than its factorization.

82176666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747 (or 8736 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 82176666 is about 9065.1346377205. The cubic root of 82176666 is about 434.7599256604.

The spelling of 82176666 in words is "eighty-two million, one hundred seventy-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 8707 9438 17414 26121 52242 95777 113191 191554 226382 287331 339573 574662 679146 1053547 1245101 2107094 2490202 3160641 3735303 6321282 7470606 13696111 27392222 41088333 82176666