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204868242 = 23220695501
BaseRepresentation
bin11000011011000…
…00101010010010
3112021111101101200
430031200222102
5404421240432
632155012030
75035231335
oct1415405222
9467441350
10204868242
11a57085a7
125873a016
13335a0117
141d2cc61c
1512ebba7c
hexc360a92

204868242 has 24 divisors (see below), whose sum is σ = 444176460. Its totient is φ = 68244000.

The previous prime is 204868231. The next prime is 204868247. The reversal of 204868242 is 242868402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 201100761 + 3767481 = 14181^2 + 1941^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 204868197 and 204868206.

It is not an unprimeable number, because it can be changed into a prime (204868247) 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 11 ways as a sum of consecutive naturals, for example, 34492 + ... + 39992.

Almost surely, 2204868242 is an apocalyptic number.

204868242 is an abundant number, since it is smaller than the sum of its proper divisors (239308218).

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

204868242 is a wasteful number, since it uses less digits than its factorization.

204868242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 204868242 is about 14313.2191347719. The cubic root of 204868242 is about 589.5105027405.

The spelling of 204868242 in words is "two hundred four million, eight hundred sixty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 2069 4138 5501 6207 11002 12414 16503 18621 33006 37242 49509 99018 11381569 22763138 34144707 68289414 102434121 204868242