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204868593 = 32371494129
BaseRepresentation
bin11000011011000…
…00101111110001
3112021111101212200
430031200233301
5404421243333
632155013413
75035232346
oct1415405761
9467441780
10204868593
11a5708896
125873a269
13335a0327
141d2cc7cd
1512ebbc13
hexc360bf1

204868593 has 24 divisors (see below), whose sum is σ = 306033000. Its totient is φ = 131963904.

The previous prime is 204868589. The next prime is 204868597. The reversal of 204868593 is 395868402.

204868593 is a `hidden beast` number, since 2 + 0 + 486 + 85 + 93 = 666.

204868593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204868589) and next prime (204868597).

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 169442289 = 5952^2 + 13017^2 .

It is not a de Polignac number, because 204868593 - 22 = 204868589 is a prime.

It is a super-2 number, since 2×2048685932 = 83942280795599298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204868597) 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, 47553 + ... + 51681.

It is an arithmetic number, because the mean of its divisors is an integer number (12751375).

Almost surely, 2204868593 is an apocalyptic number.

It is an amenable number.

204868593 is a deficient number, since it is larger than the sum of its proper divisors (101164407).

204868593 is a wasteful number, since it uses less digits than its factorization.

204868593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 204868593 is about 14313.2313961593. The cubic root of 204868593 is about 589.5108394090.

The spelling of 204868593 in words is "two hundred four million, eight hundred sixty-eight thousand, five hundred ninety-three".

Divisors: 1 3 9 37 111 149 333 447 1341 4129 5513 12387 16539 37161 49617 152773 458319 615221 1374957 1845663 5536989 22763177 68289531 204868593