Base | Representation |
---|---|
bin | 11001000000110010100000 |
3 | 110100010021122 |
4 | 121000302200 |
5 | 3134304312 |
6 | 352311412 |
7 | 106506062 |
oct | 31006240 |
9 | 13303248 |
10 | 6556832 |
11 | 3779277 |
12 | 2242568 |
13 | 14875a9 |
14 | c29732 |
15 | 897b72 |
hex | 640ca0 |
6556832 has 36 divisors (see below), whose sum is σ = 13732110. Its totient is φ = 3081216.
The previous prime is 6556831. The next prime is 6556861. The reversal of 6556832 is 2386556.
It can be written as a sum of positive squares in 3 ways, for example, as 5973136 + 583696 = 2444^2 + 764^2 .
It is a junction number, because it is equal to n+sod(n) for n = 6556792 and 6556801.
It is not an unprimeable number, because it can be changed into a prime (6556831) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8894 + ... + 9602.
Almost surely, 26556832 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 6556832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866055).
6556832 is an abundant number, since it is smaller than the sum of its proper divisors (7175278).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6556832 is a wasteful number, since it uses less digits than its factorization.
6556832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 753 (or 728 counting only the distinct ones).
The product of its digits is 43200, while the sum is 35.
The square root of 6556832 is about 2560.6311721917. The cubic root of 6556832 is about 187.1678932932.
It can be divided in two parts, 65568 and 32, that multiplied together give a triangular number (2098176 = T2048).
The spelling of 6556832 in words is "six million, five hundred fifty-six thousand, eight hundred thirty-two".
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