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204864044 = 227114116223
BaseRepresentation
bin11000011010111…
…11101000101100
3112021111011122012
430031133220230
5404421122134
632154540352
75035213160
oct1415375054
9467434565
10204864044
11a5705430
12587376b8
133359b238
141d2caca0
1512eba6ce
hexc35fa2c

204864044 has 48 divisors (see below), whose sum is σ = 457906176. Its totient is φ = 77865600.

The previous prime is 204864041. The next prime is 204864053. The reversal of 204864044 is 440468402.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 204864044.

It is not an unprimeable number, because it can be changed into a prime (204864041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4517 + ... + 20739.

It is an arithmetic number, because the mean of its divisors is an integer number (9539712).

Almost surely, 2204864044 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 204864044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228953088).

204864044 is an abundant number, since it is smaller than the sum of its proper divisors (253042132).

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

204864044 is a wasteful number, since it uses less digits than its factorization.

204864044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16286 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 204864044 is about 14313.0724863671. The cubic root of 204864044 is about 589.5064761167.

The spelling of 204864044 in words is "two hundred four million, eight hundred sixty-four thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 3157 6314 12628 16223 32446 64892 113561 178453 227122 356906 454244 665143 713812 1249171 1330286 2498342 2660572 4656001 4996684 7316573 9312002 14633146 18624004 29266292 51216011 102432022 204864044