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Today is Day 49 of 2018

49

is the smallest number with the property that it and its bordering numbers are squareful:
48 = 42 x 3, 49 = 72 x 1, 50 = 52 x 2

is the smallest number which is the concatenation of two prime squares (22 and 32) creating another prime square.

is a 'lucky numbers'. Stanislaw Ulam, a polish mathematician, devised a sequence of numbers called lucky numbers which are generated by a simple algorithm called 'sieve' similar to the 'Sieve of Eratosthenes'. The lucky numbers are: 1, 3, 7, 9, 13, 15, 21, 25, 31, 33, 37, 43, 49, 51, 63, 67, 69, 73, 75, 79, 87, 93, 99, 105, 111, 115, 127, 129, 133, 135, 141, 151, 159, 163, etc.

Its cube ends in the same digits: 493 = 117,649

49 = 4 x 9 + 4 + 9
This also works for 19, 29, 39, 59, 69, 79, 89 and 99, for instance: 79 = 7 x 9 + 7 + 9

= 1 + 3 + 5 + 7 + 9 + 11 + 13 (sum of the first seven odd numbers)
= 13 + 17 + 19 (sum of consecutive primes)
= 72 = 252 - 242 = 25 + 24
= (11 - 4)(11 - 9)
= 32 + 52 + 3 x 5
= 32 + 10 x 22
= 52 + 6 x 22

49 = 4 + 9
1/49 = 0,020408163264...

49 = 49 = 4
98    98    8

23n+3 - 7n - 8 (this algebraic expression is divisible by 49)

XLIX or IL?
Rules regarding Roman numerals often state that L cannot be preceded by I or V, only by X. Thus, one should represent the number 'forty-nine' as XLIX, not as the 'shortcut' IL.

Lasca is an unusual checkers game played on a 7x7 board having 49 squares.

The "Nagari" or "Devanagari" (also called 'writing of the gods') is a writing system employed for the traditional Sanskrit language and has 49 elementary signs.

Many thanks are extended to Archimedes' Lab for their information.




49

Today is day number   of 2018. Below are various representations of the number 49, some dating thousands of years, and some very modern.

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Chinese

Egyptian

Mayan

 

Babylonian

Greek

Abacus

Roman

 

Hex

 

Binary

 

Many thanks are extended to Jo Edkins for her wonderful work.

 



 

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