Given an integer N, the task is to find the smallest N-digit number which is a perfect fourth power.
Input: N = 2
Only valid numbers are 24 = 16
and 34 = 81 but 16 is the minimum.
Input: N = 3
44 = 256
Approach: It can be observed that for the values of N = 1, 2, 3, …, the series will go on like 1, 16, 256, 1296, 10000, 104976, 1048576, … whose Nth term will be pow(ceil( (pow(pow(10, (n – 1)), 1 / 4) ) ), 4).
Below is the implementation of the above approach:
- Smallest and Largest N-digit perfect cubes
- Smallest and Largest N-digit perfect squares
- Sum of fourth power of first n even natural numbers
- Find last five digits of a given five digit number raised to power five
- Largest and smallest digit of a number
- Smallest N digit number which is a multiple of 5
- Smallest K digit number divisible by X
- Smallest n digit number divisible by given three numbers
- C++ Program for Smallest K digit number divisible by X
- Queries for the smallest and the largest prime number of given digit
- Java Program for Smallest K digit number divisible by X
- Check if the first and last digit of the smallest number forms a prime
- Perfect power (1, 4, 8, 9, 16, 25, 27, ...)
- Smallest perfect cube in an array
- Numbers less than N that are perfect cubes and the sum of their digits reduced to a single digit is 1
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