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204795052 = 227113189241
BaseRepresentation
bin11000011010011…
…10110010101100
3112021100122222221
430031032302230
5404411420202
632153245124
75034505060
oct1415166254
9467318887
10204795052
11a5668610
12587037a4
1333575a07
141d2adaa0
1512ea5037
hexc34ecac

204795052 has 96 divisors (see below), whose sum is σ = 468357120. Its totient is φ = 76032000.

The previous prime is 204795043. The next prime is 204795061. The reversal of 204795052 is 250597402.

204795052 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 (204795043) and next prime (204795061).

It is a junction number, because it is equal to n+sod(n) for n = 204794999 and 204795017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849652 + ... + 849892.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2204795052 is an apocalyptic number.

204795052 is a gapful number since it is divisible by the number (22) 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 204795052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234178560).

204795052 is an abundant number, since it is smaller than the sum of its proper divisors (263562068).

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

204795052 is a wasteful number, since it uses less digits than its factorization.

204795052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 204795052 is about 14310.6621789490. The cubic root of 204795052 is about 589.4402927161.

The spelling of 204795052 in words is "two hundred four million, seven hundred ninety-five thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 89 124 154 178 217 241 308 341 356 434 482 623 682 868 964 979 1246 1364 1687 1958 2387 2492 2651 2759 3374 3916 4774 5302 5518 6748 6853 7471 9548 10604 11036 13706 14942 18557 19313 21449 27412 29884 30349 37114 38626 42898 52297 60698 74228 77252 82181 85796 104594 121396 150143 164362 209188 212443 235939 300286 328724 424886 471878 575267 600572 664919 849772 943756 1150534 1329838 1651573 2301068 2659676 3303146 4654433 6606292 7314109 9308866 14628218 18617732 29256436 51198763 102397526 204795052