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Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors (excluding the proper divisor 1). Rearrangements which cause leading zeros are excluded.
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%I #2 Feb 27 2009 03:00:00

%S 94,472,526,5926,6811,6934,9130,11470,13108,15304,17536,18436,19336,

%T 23620,26244,28372,28930,33952,48190,52006,53266,56434,57856,59170,

%U 60214,60934,61375,62590,64354,66415,69223,81265,84217,85216,91372

%N Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors (excluding the proper divisor 1). Rearrangements which cause leading zeros are excluded.

%e a(11) = 17536 because the proper divisors of 17536 (excluding 1) are 2, 4, 8, 16, 32, 64, 128, 137, 274, 548, 1096, 2192, 4384 and 8768 which sum to (2 + 4 + 8 + 16 + 32 + 64 + 128 + 137 + 274 + 548 + 1096 + 2192 + 4384 + 8768) = 17653 and 17653 is a permutation of the digits of 17536.

%Y Cf. A085844.

%K base,nonn

%O 0,1

%A Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 13 2003