The six digit number 4abcd6 is the square of an integer where a, b, c, and d each represent a different missing digit. Find the six digit number and its square root.

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A six-digit number is a number whose number of digits is 6

The six-digit number is 401956, and the square root of the six-digit number is 634

How to determine the six-digit number

The number is given as:

4abcd6

Since the number ends with 6, it means that:

The square root of the number ends with 6 or 4

Also, the square root of the six-digit number is a three-digit number

Using trial by error, the six-digit number is 401956

The square root of 401956 is 634

Hence, the six-digit number is 401956, and its square root is 634

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