| Base | Representation |
|---|---|
| bin | 11000011011101… |
| … | …10111001100000 |
| 3 | 112021200000100020 |
| 4 | 30031312321200 |
| 5 | 404432144303 |
| 6 | 32200553440 |
| 7 | 5036061030 |
| oct | 1415667140 |
| 9 | 467600306 |
| 10 | 204959328 |
| 11 | a576aa82 |
| 12 | 58782880 |
| 13 | 33602712 |
| 14 | 1d3138c0 |
| 15 | 12ed8a53 |
| hex | c376e60 |
204959328 has 192 divisors, whose sum is σ = 648248832. Its totient is φ = 55480320.
The previous prime is 204959323. The next prime is 204959347. The reversal of 204959328 is 823959402.
204959328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2049593282 = 84016652268423168, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a self number, because there is not a number n which added to its sum of digits gives 204959328.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (204959323) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184650 + ... + 1184822.
It is an arithmetic number, because the mean of its divisors is an integer number (3376296).
Almost surely, 2204959328 is an apocalyptic number.
204959328 is a gapful number since it is divisible by the number (28) 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 204959328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324124416).
204959328 is an abundant number, since it is smaller than the sum of its proper divisors (443289504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
204959328 is a wasteful number, since it uses less digits than its factorization.
204959328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 277 (or 269 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 42.
The square root of 204959328 is about 14316.4006649716. The cubic root of 204959328 is about 589.5978567673.
The spelling of 204959328 in words is "two hundred four million, nine hundred fifty-nine thousand, three hundred twenty-eight".
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