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D-number  and  d-powerful n.

First numbers that belong to both sets:

9, 63, 267, 849, 2283, 2427, 2517, 2577, 2733, 2757, 2973, 3147, 3453, 3543, 4269, 4353, 4443, 4449, 4623, 5259, 5367, 6249, 6423, 7323, 8223, 9237, 12723, 13173, 13443, 16293, 16431, 16437, 16743, 17133, 17247, 17463, 20973, 22467, 22773, 23523, 23637, 23853, 24483, 24627, 25257, 26043, 26241, 26337, 27129, 28263, 28533, 29343, 32811, 32817, 33261, 33447, 34233, 35229, 36327, 36723, 36789, 36987, 37227, 37263, 37353, 38343, 39687, 42243, 42249, 42261, 42519, 43383, 48333, 49893, 49899, 52707, 52743, 53481, 54363, 54633, 59061, 59883, 59937, 60351, 60483, 61323, 62661, 63321, 63471, 64731, 65523, 66849, 67323, 67929, 69297, 69567, 72453, 76233, 76929, 77223, 78297, 78549, 78963, 79683, 82371, 82443, 84243, 84957, 85233, 85929, 92343, 92523, 94947, 96567, 97689, 98349, 98493, 99483, 117903, 118227, 121827, 123537, 124473, 124833, 124923, 125283, 125733, 126543, 127353, 132537, 132621, 132843, 134427, 137253, 137499, 137523, 137679, 137859, 141483, 142323, 142473, 143751, 148299, 154023, 156531, 157563, 167487, 172803, 173253, 176739, 176973, 192243, 196953, 202953, 203349, 203673, 206373, 212259, 212307, 213267, 213627, 214437, 215823, 222933, 223149, 223257, 223347, 223563, 224283, 224337, 224463, 225327, 225543, 226731, 226959, 228759, 229413, 230343, 233067, 234723, 235779, 236343, 236631, 236679, 236703, 236787, 236967, 237333, 237399, 237579, 237777, 237999, 238677, 239829, 240333, 242733, 243039, 243213, 243231, 243303, 243543, 244263, 245703, 246063, 246153, 248379, 248739, 249303, 249693, 250293, 252363, 253443, 253599, 253959, 253977, 254253, 254433, 255399, 256233, 256341, 257379, 257793, 258789, 259737, 261453, 262209, 262221, 262263, 262281, 262443, 262533, 262623, 262641, 262887, 263253, 263433, 263499, 264207, 264351, 264669, 264711, 264777, 265233, 265413, 265479, 265497, 266223, 266649, 268377, 268539, 268557, 268683, 268809, 268959, 269547, 269949, 271533, 271641, 272589, 273243, 273423, 273759, 274233, 274497, 275133, 275829, 275883, 276699, 278259, 278583, 278853, 279249, 279843, 280461, 280689, 282027, 282333, 282687, 282759, 283389.

Some larger examples :