Search a number
-
+
204512544 = 25327011013
BaseRepresentation
bin11000011000010…
…01110100100000
3112020211022110200
430030021310200
5404323400134
632143225200
75032220325
oct1414116440
9466738420
10204512544
11a5495335
12585a8200
13334a7252
141d238b4c
1512e4b499
hexc309d20

204512544 has 72 divisors (see below), whose sum is σ = 582987132. Its totient is φ = 68006400.

The previous prime is 204512537. The next prime is 204512563. The reversal of 204512544 is 445215402.

204512544 is digitally balanced in base 3, 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 2 ways, for example, as 198810000 + 5702544 = 14100^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201382 + ... + 202394.

Almost surely, 2204512544 is an apocalyptic number.

204512544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204512544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291493566).

204512544 is an abundant number, since it is smaller than the sum of its proper divisors (378474588).

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

204512544 is a wasteful number, since it uses less digits than its factorization.

204512544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 204512544 is about 14300.7882300242. The cubic root of 204512544 is about 589.1691301959.

Adding to 204512544 its reverse (445215402), we get a palindrome (649727946).

The spelling of 204512544 in words is "two hundred four million, five hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 701 1013 1402 2026 2103 2804 3039 4052 4206 5608 6078 6309 8104 8412 9117 11216 12156 12618 16208 16824 18234 22432 24312 25236 32416 33648 36468 48624 50472 67296 72936 97248 100944 145872 201888 291744 710113 1420226 2130339 2840452 4260678 5680904 6391017 8521356 11361808 12782034 17042712 22723616 25564068 34085424 51128136 68170848 102256272 204512544