Search a number
-
+
205053648 = 24323185737
BaseRepresentation
bin11000011100011…
…01111011010000
3112021211210201120
430032031323100
5404443204043
632203002240
75036633022
oct1416157320
9467753646
10205053648
11a5824928
1258809380
1333636627
141d33a012
1513006983
hexc38ded0

205053648 has 40 divisors (see below), whose sum is σ = 552756288. Its totient is φ = 65379072.

The previous prime is 205053647. The next prime is 205053649. The reversal of 205053648 is 846350502.

205053648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205053647) and next prime (205053649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205053647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91765 + ... + 93972.

Almost surely, 2205053648 is an apocalyptic number.

It is an amenable number.

205053648 is an abundant number, since it is smaller than the sum of its proper divisors (347702640).

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

205053648 is a wasteful number, since it uses less digits than its factorization.

205053648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185771 (or 185765 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 205053648 is about 14319.6944101472. The cubic root of 205053648 is about 589.6882850197.

The spelling of 205053648 in words is "two hundred five million, fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 185737 371474 557211 742948 1114422 1485896 2228844 2971792 4271951 4457688 8543902 8915376 12815853 17087804 25631706 34175608 51263412 68351216 102526824 205053648