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204864005 = 53721732
BaseRepresentation
bin11000011010111…
…11101000000101
3112021111011120202
430031133220011
5404421122010
632154540245
75035213103
oct1415375005
9467434522
10204864005
11a57053a5
1258737685
133359b208
141d2cac73
1512eba6a5
hexc35fa05

204864005 has 18 divisors (see below), whose sum is σ = 254129526. Its totient is φ = 158539968.

The previous prime is 204864001. The next prime is 204864007. The reversal of 204864005 is 500468402.

204864005 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 9 ways, for example, as 42276004 + 162588001 = 6502^2 + 12751^2 .

It is not a de Polignac number, because 204864005 - 22 = 204864001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204864001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1184099 + ... + 1184271.

It is an arithmetic number, because the mean of its divisors is an integer number (14118307).

Almost surely, 2204864005 is an apocalyptic number.

It is an amenable number.

204864005 is a deficient number, since it is larger than the sum of its proper divisors (49265521).

204864005 is an frugal number, since it uses more digits than its factorization.

204864005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 204864005 is about 14313.0711239762. The cubic root of 204864005 is about 589.5064387086.

The spelling of 204864005 in words is "two hundred four million, eight hundred sixty-four thousand, five".

Divisors: 1 5 37 173 185 865 1369 6401 6845 29929 32005 149645 236837 1107373 1184185 5536865 40972801 204864005