Base | Representation |
---|---|
bin | 10111110100100… |
… | …10101000100000 |
3 | 111221000102021220 |
4 | 23322102220200 |
5 | 402124030143 |
6 | 31455015040 |
7 | 4644345615 |
oct | 1372225040 |
9 | 457012256 |
10 | 199830048 |
11 | a2887300 |
12 | 56b0a480 |
13 | 32527b42 |
14 | 1c77a50c |
15 | 12823d83 |
hex | be92a20 |
199830048 has 72 divisors (see below), whose sum is σ = 576609264. Its totient is φ = 60551040.
The previous prime is 199830047. The next prime is 199830079. The reversal of 199830048 is 840038991.
199830048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 199829991 and 199830009.
It is not an unprimeable number, because it can be changed into a prime (199830047) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3015 + ... + 20217.
It is an arithmetic number, because the mean of its divisors is an integer number (8008462).
Almost surely, 2199830048 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 199830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288304632).
199830048 is an abundant number, since it is smaller than the sum of its proper divisors (376779216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
199830048 is a wasteful number, since it uses less digits than its factorization.
199830048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17238 (or 17219 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 42.
The square root of 199830048 is about 14136.1256361140. The cubic root of 199830048 is about 584.6378531460.
The spelling of 199830048 in words is "one hundred ninety-nine million, eight hundred thirty thousand, forty-eight".
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