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204605296 = 24718110093
BaseRepresentation
bin11000011001000…
…00011101110000
3112021000000200221
430030200131300
5404334332141
632145222424
75033054620
oct1414403560
9467000627
10204605296
11a5548a95
1258631a14
133350a52c
141d260880
1512e68bd1
hexc320770

204605296 has 40 divisors (see below), whose sum is σ = 455602784. Its totient is φ = 87194880.

The previous prime is 204605287. The next prime is 204605299. The reversal of 204605296 is 692506402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204605299) 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 7 ways as a sum of consecutive naturals, for example, 15226 + ... + 25318.

Almost surely, 2204605296 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 204605296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227801392).

204605296 is an abundant number, since it is smaller than the sum of its proper divisors (250997488).

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

204605296 is a wasteful number, since it uses less digits than its factorization.

204605296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 204605296 is about 14304.0307605933. The cubic root of 204605296 is about 589.2581848083.

It can be divided in two parts, 20 and 4605296, that added together give a square (4605316 = 21462).

The spelling of 204605296 in words is "two hundred four million, six hundred five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2534 2896 5068 10093 10136 20186 20272 40372 70651 80744 141302 161488 282604 565208 1130416 1826833 3653666 7307332 12787831 14614664 25575662 29229328 51151324 102302648 204605296