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d-powerful n.  and  practical n.

First numbers that belong to both sets:

1, 2, 4, 6, 8, 24, 132, 224, 264, 378, 1326, 1386, 1672, 1836, 2048, 2064, 2130, 2240, 2244, 2352, 2376, 2394, 2464, 2574, 2628, 2664, 3234, 3294, 3432, 3612, 3726, 3942, 3948, 4136, 4158, 4224, 4240, 4248, 4260, 4264, 4266, 4288, 4332, 4352, 4424, 4624, 4644, 4648, 4732, 4736, 4950, 4956, 5232, 5236, 5320, 5328, 5432, 5562, 5632, 5832, 6424, 6732, 6972, 6976, 7296, 7632, 8200, 8208, 8262, 8288, 8316, 8352, 8536, 8712, 8932, 8970, 8976, 9234, 9324, 12324, 12432, 13132, 13332, 16432, 16434, 16470, 16524, 17248, 17334, 17376, 17424, 18522, 20064, 20352, 20532, 21364, 22338, 22372, 22374, 22624, 22848, 22932, 22950, 23056, 23232, 23324, 23364, 23436, 23472, 23496, 23548, 23562, 23584, 23634, 23652, 23744, 23856, 23892, 24332, 24336, 24396, 24426, 24464, 24576, 24592, 24624, 24684, 24750, 24752, 24840, 24864, 24976, 25232, 25254, 25272, 25432, 25434, 25476, 25764, 25872, 26224, 26240, 26244, 26352, 26448, 27234, 27324, 27360, 27472, 27984, 28260, 28336, 28536, 29232, 29436, 29744, 30340, 30348, 32256, 32364, 32436, 32528, 32562, 32780, 32832, 32922, 32940, 32944, 32980, 32984, 33020, 33024, 33220, 33222, 33228, 33264, 33288, 33372, 33592, 33792, 33824, 33864, 34038, 34146, 34230, 34254, 34272, 34290, 34528, 34542, 34672, 34980, 34986, 35024, 35084, 35088, 35178, 35208, 35224, 35226, 35552, 36234, 36348, 36656, 36708, 36924, 36980, 36984, 37224, 37248, 37264, 37268, 37284, 37332, 37352, 37392, 37422, 37648, 37884, 38164, 38272, 38456, 39372, 39402, 39420, 39424, 39624, 39648, 39864, 40608, 40976, 41382, 42048, 42240, 42534, 42624, 42864, 43148, 43212, 43232, 43434, 43836, 44640, 46710, 46716, 46736, 47096, 47236, 47256, 47652, 47696, 48464, 48664, 49364, 49368, 49720, 49728, 49784, 49896, 49968, 50764, 50876, 52432, 52542, 52700, 52704, 52724, 52768, 52832, 53064, 53088, 53262, 53376, 53406, 53480, 53956, 56364, 59064, 59192, 59202.

Some larger examples :