102432 * 32108933 * 33115634 * 34122535 * 35129636 * 36136937 * 37144438 * 38152139 * 39160040 * 40168141 * 41176442 * 42184943 * 43193644 * 44202545 * 45211646 * 46220947 * 47230448 * 48240149 * 49250050 * 50260151 * 51270452 * 52280953 * 53291654 * 54302555 * 55313656 * 56324957 * 57336458 * 58348159 * 59360060 * 60372161 * 61384462 * 62396963 * 63409664 * 64422565 * 65435666 * 66448967 * 67462468 * 68476169 * 69490070 * 70504171 * 71518472 * 72532973 * 73547674 * 74562575 * 75577676 * 76592977 * 77608478 * 78624179 * 79640080 * 80656181 * 81672482 * 82688983 * 83705684 * 84722585 * 85739686 * 86756987 * 87774488 * 88792189 * 89810090 * 90828191 * 91846492 * 92864993 * 93883694 * 94902595 * 95921696 * 96940997 * 97960498 * 98980199 * 99
16 (42), 25 (52), 36 (62), 49 (72), 64 (82), and 81 (92) are all two-digit square numbers.
Nope, look at 1000, this is a 4 digit number and we can't list it with 1,2,3, and 4
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 All the square numbers up to 20!
There are five such numbers: 11, 12, 15, 24 and 36.
There are 151 3-digit numbers that are divisible by 6.
It is actually very simple, just take 10 to the square root of four. 10^4
16 (42), 25 (52), 36 (62), 49 (72), 64 (82), and 81 (92) are all two-digit square numbers.
Nope, look at 1000, this is a 4 digit number and we can't list it with 1,2,3, and 4
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 All the square numbers up to 20!
They belong to a set of numbers whose first digit is 8. There are 720 such numbers and I regret that I do not have the patience to list them all.
There are 12,500 of them and I am not going to list them. One of them is 200000.
There are five such numbers: 11, 12, 15, 24 and 36.
They are the sixth powers of all integers.
Start at 100 and go on till you reach 999 then stop.
700000
There are 99 such numbers - the squares of 2 to 99 and I do not have the patience to list them all.
It'll be a long list; there are 57 possibilities.