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82660356 = 223219311897
BaseRepresentation
bin1001110110101…
…00110000000100
312202112120200200
410323110300010
5132130112411
612111410500
72022413202
oct473246004
9182476620
1082660356
1142728a49
1223823a30
131418226c
14ad9a072
1573cbe56
hex4ed4c04

82660356 has 36 divisors (see below), whose sum is σ = 210047292. Its totient is φ = 27408384.

The previous prime is 82660339. The next prime is 82660373. The reversal of 82660356 is 65306628.

It is an interprime number because it is at equal distance from previous prime (82660339) and next prime (82660373).

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 23677956 = 7680^2 + 4866^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82660356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000 + ... + 12896.

It is an arithmetic number, because the mean of its divisors is an integer number (5834647).

Almost surely, 282660356 is an apocalyptic number.

It is an amenable number.

82660356 is an abundant number, since it is smaller than the sum of its proper divisors (127386936).

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

82660356 is a wasteful number, since it uses less digits than its factorization.

82660356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 82660356 is about 9091.7740843028. The cubic root of 82660356 is about 435.6112532413.

The spelling of 82660356 in words is "eighty-two million, six hundred sixty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948 11897 23794 35691 47588 71382 107073 142764 214146 428292 2296121 4592242 6888363 9184484 13776726 20665089 27553452 41330178 82660356