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 A061210 Numbers which are the fourth powers of their digit sum. 6
 0, 1, 2401, 234256, 390625, 614656, 1679616 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS It can be shown that 1679616 = 36^4 is the largest such number. REFERENCES Amarnath Murthy, The largest and the smallest m-th power whose digit sum is the m-th root. (To be published) LINKS EXAMPLE 614656 = ( 6+1+4+6+5+6)^4 =28^4. MATHEMATICA Select[Range[0, 17*10^5], #==Total[IntegerDigits[#]]^4&] (* Harvey P. Dale, Sep 22 2019 *) PROG (PARI) isok(n) = n == sumdigits(n)^4; \\ Michel Marcus, Jan 22 2015 CROSSREFS Cf. A061209 (with cubes), A061211. Cf. A046000, A076090, A046017; A252648 and references there. Sequence in context: A017356 A017476 A017608 * A226092 A097015 A222461 Adjacent sequences:  A061207 A061208 A061209 * A061211 A061212 A061213 KEYWORD nonn,fini,full,base AUTHOR Amarnath Murthy, Apr 21 2001 EXTENSIONS Corrected by Ulrich Schimke, Feb 11 2002 Initial 0 added by M. F. Hasler, Apr 12 2015 STATUS approved

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Last modified April 4 05:15 EDT 2020. Contains 333212 sequences. (Running on oeis4.)