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A061209
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Numbers which are the cubes of their digit sum.
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3
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OFFSET
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1,2
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COMMENTS
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It can be shown that 19683= (1+9+6+8+3)^3 = 27^3 is the largest such number.
Numbers of Dudeney. - Philippe Deléham, May 11 2013
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REFERENCES
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Amarnath Murthy, The largest and the smallest m-th power whose digit sum is the m-th root. (To be published)
H. E. Dudeney, 536 Puzzles & Curious Problems, Souvenir Press, London, 1966, p. 36
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LINKS
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Table of n, a(n) for n=1..6.
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EXAMPLE
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4913 = (4+9+1+3)^3.
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CROSSREFS
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Sequence in context: A017067 A186845 A114287 * A017259 A017367 A017487
Adjacent sequences: A061206 A061207 A061208 * A061210 A061211 A061212
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KEYWORD
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nonn,fini,full,base,changed
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 21 2001
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STATUS
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approved
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