Base | Representation |
---|---|
bin | 11111100101111110000000 |
3 | 120120202202011 |
4 | 133211332000 |
5 | 4110010414 |
6 | 453302304 |
7 | 130252504 |
oct | 37457600 |
9 | 16522664 |
10 | 8281984 |
11 | 4747417 |
12 | 2934994 |
13 | 193c8a9 |
14 | 1158304 |
15 | ad8dc4 |
hex | 7e5f80 |
8281984 has 32 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 4088832.
The previous prime is 8281981. The next prime is 8281993. The reversal of 8281984 is 4891828.
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 (8281981) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11029 + ... + 11755.
Almost surely, 28281984 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 8281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).
8281984 is an abundant number, since it is smaller than the sum of its proper divisors (8425616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8281984 is an equidigital number, since it uses as much as digits as its factorization.
8281984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 830 (or 818 counting only the distinct ones).
The product of its digits is 36864, while the sum is 40.
The square root of 8281984 is about 2877.8436371700. The cubic root of 8281984 is about 202.3227855677.
The spelling of 8281984 in words is "eight million, two hundred eighty-one thousand, nine hundred eighty-four".
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