| Base | Representation |
|---|---|
| bin | 1111111101011110… |
| … | …1010101000000000 |
| 3 | 102001120211202122200 |
| 4 | 3333113222220000 |
| 5 | 32233301101414 |
| 6 | 1545045233200 |
| 7 | 211112514363 |
| oct | 37727525000 |
| 9 | 12046752580 |
| 10 | 4284393984 |
| 11 | 18a9479682 |
| 12 | 9b6a02800 |
| 13 | 533817090 |
| 14 | 2c90240da |
| 15 | 1a1200109 |
| hex | ff5eaa00 |
4284393984 has 240 divisors, whose sum is σ = 13683181512. Its totient is φ = 1281982464.
The previous prime is 4284393937. The next prime is 4284393989. The reversal of 4284393984 is 4893934824.
4284393984 is a `hidden beast` number, since 428 + 43 + 93 + 98 + 4 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3984134400 + 300259584 = 63120^2 + 17328^2 .
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 4284393984.
It is not an unprimeable number, because it can be changed into a prime (4284393989) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2215482 + ... + 2217414.
Almost surely, 24284393984 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 4284393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841590756).
4284393984 is an abundant number, since it is smaller than the sum of its proper divisors (9398787528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4284393984 is a wasteful number, since it uses less digits than its factorization.
4284393984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2007 (or 1988 counting only the distinct ones).
The product of its digits is 5971968, while the sum is 54.
The square root of 4284393984 is about 65455.2823231250. The cubic root of 4284393984 is about 1624.1637017797.
The spelling of 4284393984 in words is "four billion, two hundred eighty-four million, three hundred ninety-three thousand, nine hundred eighty-four".
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