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282166085 = 517291131013
BaseRepresentation
bin10000110100011…
…000001101000101
3201122221112002202
4100310120031011
51034213303320
643555444245
76664241435
oct2064301505
9648845082
10282166085
11135303613
127a5b6685
13465c55a6
14296902c5
1519b89b75
hex10d18345

282166085 has 32 divisors (see below), whose sum is σ = 374531040. Its totient is φ = 203112448.

The previous prime is 282166081. The next prime is 282166091. The reversal of 282166085 is 580661282.

It can be written as a sum of positive squares in 16 ways, for example, as 199883044 + 82283041 = 14138^2 + 9071^2 .

It is a cyclic number.

It is not a de Polignac number, because 282166085 - 22 = 282166081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282166081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 278039 + ... + 279051.

It is an arithmetic number, because the mean of its divisors is an integer number (11704095).

Almost surely, 2282166085 is an apocalyptic number.

It is an amenable number.

282166085 is a deficient number, since it is larger than the sum of its proper divisors (92364955).

282166085 is a wasteful number, since it uses less digits than its factorization.

282166085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177.

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 282166085 is about 16797.8000047625. The cubic root of 282166085 is about 655.8959322386.

The spelling of 282166085 in words is "two hundred eighty-two million, one hundred sixty-six thousand, eighty-five".

Divisors: 1 5 17 29 85 113 145 493 565 1013 1921 2465 3277 5065 9605 16385 17221 29377 55709 86105 114469 146885 278545 499409 572345 1945973 2497045 3319601 9729865 16598005 56433217 282166085