Base | Representation |
---|---|
bin | 1111111101100010000000 |
3 | 21212120122002 |
4 | 33331202000 |
5 | 2032343232 |
6 | 225403132 |
7 | 50364545 |
oct | 17754200 |
9 | 7776562 |
10 | 4184192 |
11 | 23a8711 |
12 | 14994a8 |
13 | b3666c |
14 | 7acbcc |
15 | 579b62 |
hex | 3fd880 |
4184192 has 32 divisors (see below), whose sum is σ = 8446620. Its totient is φ = 2064384.
The previous prime is 4184179. The next prime is 4184197. The reversal of 4184192 is 2914814.
4184192 = T103 + T104 + ... + T296.
4184192 is digitally balanced in base 2, 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 4096576 + 87616 = 2024^2 + 296^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4184197) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12248 + ... + 12584.
Almost surely, 24184192 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 4184192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223310).
4184192 is an abundant number, since it is smaller than the sum of its proper divisors (4262428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4184192 is an equidigital number, since it uses as much as digits as its factorization.
4184192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 448 (or 436 counting only the distinct ones).
The product of its digits is 2304, while the sum is 29.
The square root of 4184192 is about 2045.5297602333. The cubic root of 4184192 is about 161.1401888416.
The spelling of 4184192 in words is "four million, one hundred eighty-four thousand, one hundred ninety-two".
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