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206756082 = 23213979109
BaseRepresentation
bin11000101001011…
…01100011110010
3112102001022000200
430110231203302
5410412143312
632303300030
75060253261
oct1424554362
9472038020
10206756082
11a67879a5
12592aa616
1333ab14a0
141d6605d8
15132410dc
hexc52d8f2

206756082 has 48 divisors (see below), whose sum is σ = 487457880. Its totient is φ = 62954496.

The previous prime is 206756063. The next prime is 206756087. The reversal of 206756082 is 280657602.

206756082 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93141801 + 113614281 = 9651^2 + 10659^2 .

It is not an unprimeable number, because it can be changed into a prime (206756087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18144 + ... + 27252.

Almost surely, 2206756082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206756082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243728940).

206756082 is an abundant number, since it is smaller than the sum of its proper divisors (280701798).

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

206756082 is a wasteful number, since it uses less digits than its factorization.

206756082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9227 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 206756082 is about 14379.0153348552. The cubic root of 206756082 is about 591.3157288139.

The spelling of 206756082 in words is "two hundred six million, seven hundred fifty-six thousand, eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 7566 9109 11349 18218 22698 27327 54654 81981 118417 163962 236834 355251 710502 883573 1065753 1767146 2131506 2650719 5301438 7952157 11486449 15904314 22972898 34459347 68918694 103378041 206756082