1458 (number)

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

| ← 1457 | 1458 |  1459 →

|
|

* List of numbers
* Integers

← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →

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

[edit]

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

This article about a number is a stub. You can help Wikipedia by expanding it.

|

* v
* t
* e

*[v]: View this template
*[t]: Discuss this template
*[e]: Edit this template