A power of 2

128=27,128=2^7, but none of the other permutations of the digits of 128 form powers of 2: 182, 218, 281, 812, 821.182,\ 218,\ 281,\ 812,\ 821.

Is there any power of 2, 2n,2^n, such that at least one of its other permutations is also a power of 2?

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