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1458 (number) - Wikipedia

From Wikipedia, the free encyclopedia

This article is about the number 1458. For the year AD 1458, see

1458

.

Natural number

← 1457 1458 1459 → Cardinal One thousand four hundred [and] fifty-eight Ordinal 1458th
(one thousand four hundred fifty-eighth) Factorization 2 × 36 Divisors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458 Greek numeral ,ΑΥΝΗ´ Roman numeral MCDLVIII, mcdlviii Binary 101101100102 Ternary 20000003 Senary 104306 Octal 26628 Duodecimal A1612 Hexadecimal 5B216

1458 is the integer after 1457 and before 1459.

The maximum determinant of an 11 by 11 matrix of zeroes and ones is 1458.[1]

1458 is one of three numbers which, when its base 10 digits are added together, produces a sum which, when multiplied by its reversed self, yields the original number:

1 + 4 + 5 + 8 = 18
18 × 81 = 1458

The only other non-trivial numbers with this property are 81 and 1729, as well as the trivial solutions 1 and 0. It was proven by Masahiko Fujiwara. [2]

  1. ^ Hadamard, J. (1893), "Résolution d'une question relative aux déterminants", Bulletin des Sciences Mathématiques, 17: 240–246
  2. ^ Fujiwara, M. (2005), Introduction to Truly Beautiful Mathematics, pp. 100–101

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