What is a magic number?
Example: 1729
Write a C program to check whether a given number is magic number or not.
Example: 1729
- Find the sum of digits of the given number.(1 + 7 + 2 + 9 => 19)
- Reverse of digit sum output. Reverse of 19 is 91
- Find the product of digit sum and the reverse of digit sum.(19 X 91 = 1729)
- If the product value and the given input are same, then the given number is a magic number.(19 X 91 <=> 1729)
- So, 1729 is a magic number.
Write a C program to check whether a given number is magic number or not.
/* sum of digits of a number */
int sumOfDigits(int num) {
int sum = 0;
while (num > 0) {
sum = sum + (num % 10);
num = num / 10;
}
return sum;
}
/* returns reverse of a given number */
int reverse(int num) {
int rev = 0;
while (num > 0) {
rev = (rev * 10) + (num % 10);
num = num / 10;
}
return rev;
}
int main () {
int num, sum, rev;
/* get the input value from the user */
printf("Enter the value for num:");
scanf("%d", &num);
/* find sum of digits */
sum = sumOfDigits(num);
/*
* if the value is single digit, then
* the value and its reverse are same
*/
if (sum < 10) {
if ((sum * sum) == num) {
printf("%d is a magic number\n", num);
} else {
printf("%d is not a magic number\n", num);
}
return 0;
}
/* reverse of the given number */
rev = reverse(sum);
/* print the outputs */
if ((sum * rev) == num) {
printf("%d is a magic number\n", num);
} else {
printf("%d is not a magic number\n", num);
}
return 0;
}
Output:
jp@jp-VirtualBox:~/$ ./a.out
Enter the value for num:1729
1729 is a magic number
Enter the value for num:1729
1729 is a magic number
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For the single digit,is there only "1" is the magic number ?
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