### C program to find if a number is magic number or not :

This tutorial is to check if a number is magic number or not in *c programming language*. A *magic number* is a number which is *equal* to the *product* of *sum of all digits of a number* and *reverse* of this sum. For example, *1729* is a magic number. The sum of all digits of the number is *19*. Reverse of this number *91*. Product of these values is *19 * 91 = 1729*. So, this *is a magic number.* Let’s take a look into the program first :

### C program :

#include //6 int findReverse(int n) { int reverseNumber = 0; while (n > 0) { reverseNumber = (reverseNumber * 10) + (n % 10); n = n / 10; } return reverseNumber; } //4 int findSum(int n){ int sum = 0; while (n > 0) { sum = sum + (n % 10); n = n / 10; } return sum; } int main(){ //1 int number; int sum,reverseSum; //2 printf("Enter the number : "); scanf("%d",&number); //3 sum = findSum(number); //5 reverseSum = findReverse(sum); //7 if(sum * reverseSum == number){ printf("%d is a magic number.",number); }else{ printf("%d is not a magic number.",number); } }

### Explanation :

*The commented numbers in the above program is same as the Step number below *

1. First create integer variables to store *the number*, *sum of the number* and *reverse of the sum of the number*.

2. Ask the user to enter the number and store it in *number* variable.

3. Find the sum of each digits of the number and store it in *sum* variable.

4. The function *findSum(int n)* is used to find the sum of all the digits. It takes one integer as *input* and returns the sum of the digits.

5. Now create the *reverse* of the *sum* we have found on last step. Store the value in *reverseSum* variable.

6. The function *findReverse(int n)* is used to find the reverse. It also takes one integer as *input* and returns the reverse of that number.

7. Now, check if the *product* of *sum and reverseSum* is equal to *number* or not. If yes, then it is a magic number.Print out the result.

### Sample Outputs :

Enter the number : 1223 1223 is not a magic number Enter the number : 1729 1729 is a magic number