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206485056 = 26321392579
BaseRepresentation
bin11000100111010…
…11011001000000
3112101112112020200
430103223121000
5410330010211
632253405200
75055044151
oct1423533100
9471475220
10206485056
11a6612308
1259199800
1333a1800b
141d5cd928
15131dab56
hexc4eb640

206485056 has 84 divisors (see below), whose sum is σ = 596341200. Its totient is φ = 68306688.

The previous prime is 206485051. The next prime is 206485063. The reversal of 206485056 is 650584602.

206485056 is a `hidden beast` number, since 2 + 0 + 648 + 5 + 0 + 5 + 6 = 666.

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 206485056.

It is not an unprimeable number, because it can be changed into a prime (206485051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78775 + ... + 81353.

It is an arithmetic number, because the mean of its divisors is an integer number (7099300).

Almost surely, 2206485056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298170600).

206485056 is an abundant number, since it is smaller than the sum of its proper divisors (389856144).

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

206485056 is a wasteful number, since it uses less digits than its factorization.

206485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 206485056 is about 14369.5878855310. The cubic root of 206485056 is about 591.0572406273.

The spelling of 206485056 in words is "two hundred six million, four hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 2579 3336 4448 5004 5158 6672 7737 8896 10008 10316 13344 15474 20016 20632 23211 26688 30948 40032 41264 46422 61896 80064 82528 92844 123792 165056 185688 247584 358481 371376 495168 716962 742752 1075443 1433924 1485504 2150886 2867848 3226329 4301772 5735696 6452658 8603544 11471392 12905316 17207088 22942784 25810632 34414176 51621264 68828352 103242528 206485056