Given number = 24389

Since the unit digit is 9 and cube of 9 is 729

So, the unit digit of cube root of 24389 is 9

Again the number has 5 digits,

Therefore, its cube root will be a 2-digit number for sure.

Now, the numbers can be either of 19, 29, 39, 49, 59, 69, 79, 89, 99

Again, 20³ = 8000 which is less than 24389

and 30³ = 27000 which is more than 24389

So, the number lies between 20 and 30

Since unit digit is only 9

So, the required number is 29

Hence, cube root of 24389 is 29