From Wikipedia, the free encyclopedia
This article is about the number 1458. For the year AD 1458, see 1458.
This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "1458" number – news · newspapers · books · scholar · JSTOR (June 2015) |
Natural number
| ||||
---|---|---|---|---|
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]
References
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