Base | Representation |
---|---|
bin | 11010000111111010010000 |
3 | 110212220212222 |
4 | 122013322100 |
5 | 3223120034 |
6 | 402440212 |
7 | 112131302 |
oct | 32077220 |
9 | 13786788 |
10 | 6848144 |
11 | 3958126 |
12 | 2363068 |
13 | 155a074 |
14 | ca3972 |
15 | 90412e |
hex | 687e90 |
6848144 has 30 divisors (see below), whose sum is σ = 14104194. Its totient is φ = 3220480.
The previous prime is 6848141. The next prime is 6848167. The reversal of 6848144 is 4418486.
It can be written as a sum of positive squares in 3 ways, for example, as 2521744 + 4326400 = 1588^2 + 2080^2 .
It is not an unprimeable number, because it can be changed into a prime (6848141) 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 5 ways as a sum of consecutive naturals, for example, 3884 + ... + 5364.
Almost surely, 26848144 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 6848144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052097).
6848144 is an abundant number, since it is smaller than the sum of its proper divisors (7256050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6848144 is a wasteful number, since it uses less digits than its factorization.
6848144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1523 (or 1500 counting only the distinct ones).
The product of its digits is 24576, while the sum is 35.
The square root of 6848144 is about 2616.8958710656. The cubic root of 6848144 is about 189.8997069950.
The spelling of 6848144 in words is "six million, eight hundred forty-eight thousand, one hundred forty-four".
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