Find the number of factors (excluding 1 and the number itself) of the number 38808. Find also the sum of these divisors.

Find the number of factors of 37800 .

Find the sum of all factors of the number 3645.

Find the number of rectangles excluding squares from a rectangle of size 9 xx 6

The houses of a row are numbered consecutively 45 cm from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. And find this value of x. [Hint: S_(x-1) = S_(49) -S_(x)]

How many numbers of four digits can be formed from the numbers 1,2,3,4 ? Find the sum of all such numbers (the digits are to be used once only ).

Find the total number of proper factors of the number 35700. Also find (1)sum of all these factors (2)sum of the odd proper divisors (3)the number of proper divisors divisible by 10 and the sum of these divisors.

Find the number of divisors of 720. How many of these are even? Also find the sum of divisors.

Let 'an integer is prime when it has only two factors 1 and the number itseft .' ' If an integer has not other factors excepting 1 and the number itself then it is prime,.this statement will be -

The sum of two angle is 152^(@) . If the number of degrees in one is equal to the number of grades in the other. Find the circular measure of the angles.

The first and last terms of an A.P. having a finite number of terms are respectively (-2) and 124 and the sum of the A.P. is 6161. Find the number of terms in the A.P. and also its common difference.