Τέλειοι αριθμοί (6,28)

#include <iostream>
#include <vector>
#include <algorithm>

using namespace std;

int main()
{
    cout << "Give me a natural number to tell you if it is a perfect number like 6 or 28." << endl;
    int n;
    cin >> n;

    vector <int> diairetes;

    // I put the diairetes in the vector, so I can add them then
    for (int i=1; i<n; i++){

        if(n%i == 0){

            diairetes.push_back(i);
        }
    }

    // Show the content of the vector
    cout << "DIAIRETES: " << endl;

    for(unsigned int i=0; i<diairetes.size(); i++){

        cout << diairetes[i] << endl;
    }

    cout << endl;

    // Check if n is a perfect number
    int sum = 0;

    for (unsigned int i=0; i<diairetes.size(); i++){

        sum += diairetes[i];
    }

    if (n == sum){

        cout << n << " is perfect." << endl;
        cout << n << " = ";

        for (unsigned int i=0; i<diairetes.size(); i++){

            cout << diairetes[i] << " + ";
        }

        cout << endl;
    }

    else{

        cout << n << " is not a perfect number." << endl;
    }

    return 0;

}