write program that asks the user to enter number and prints the sum of the divisors of that number the sum of the divisors of number is an important function in number theory number is called perfect number if it is equal to the sum of all of its divisorsnot including the number itself for instance is perfect number because the divisors of are and as another example is perfect number because its divisors are and however is not perfect number because its divisors are and write program that finds all four of the perfect numbers that are less than an integer is called squarefree if it is not divisible by any perfect squares other than for instance is squarefree because its divisors are and and none of those numbers (except is perfect square on the other hand is not squarefree because it is divisible by which is perfect square write program that asks the user for an integer and tells them if it is squarefree or not write program that swaps the values of three variables and so that gets the value of gets the value of and gets the value of write program to count how many integers from to are not perfect squaresperfect cubesor perfect fifth powers ask the user to enter test scores write program to do the following(aprint out the highest and lowest scores (bprint out the average of the scores (cprint out the second largest score (dif any of the scores is greater than then after all the scores have been enteredprint message warning the user that value over has been entered (edrop the two lowest scores and print out the average of the rest of them write program that computes the factorial of number the factorialn!of number is the product of all the integers between and nincluding for instance [hinttry using multiplicative equivalent of the summing technique write program that asks the user to guess random number between and if they guess rightthey get points added to their scoreand they lose point for an incorrect guess give the user five numbers to guess and print their score after all the guessing is done in the last there was an exercise that asked you to create multiplication game for kids improve your program from that exercise to keep track of the number of right and wrong answers at the end of the programprint message that varies depending on how many questions the player got right this exercise is about the well-known monty hall problem in the problemyou are contestant on game show the hostmonty hallshows you three doors behind one of those doors is prizeand behind the other two doors are goats you pick door monty hallwho