Numbers 45,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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45,062

[Zip]  U.S. Postal Zip Code: Seven Mile, Ohio 45062.

 

45,066

[Zip]  U.S. Postal Zip Code: Five Points, Ohio 45066.

 

45,361

[Math.]  A prime number. 

45,361 = 8!+7!+1!  And 871 = 4!+5!+3!+6!+1!.

 

45,454

[Math.]  454542 = 2,066,066,116 and –20660+66116 = 45454+2.

 

45,540

[Math.]  Sum (in degrees) of all internal angles of a 255-side polygon.

A regular 255-side polygon is constructible by using only straightedge and compass.

 

45,567

[Math.]  455672 = 2,076,351,489, a square number using each of 10 digits 0-9 once. (The 17th of 87 such numbers).

 

45,624

[Math.]  456242 = 2,081,549,376, a square number using each of 10 digits 0-9 once. (The 18th of 87 such numbers).

 

45,678

[Zip]  U.S. Postal Zip Code: Scottown, Ohio 45678.

 

45,738

[Math.]  Two multiples of number 6534, 6534×3 = 19,602 and 6534×7 = 45,738, use each of 10 digits 0-9 once.

 

45,792

[Math.]  Each ratio, 45792/3816 = 73548/6129 = 89532/7461 = 91584/7632 = 12, uses each of 9 digits 1-9 once.

 

45,792

[Math.]  Two multiples of number 7632, 7632×5 = 38,160 and 7632×6 = 45,792, use each of 10 digits 0-9 once. 

 

45,810

[Math.]  Two multiples of number 9162, 9162×5 = 45,810 and 9162×8 = 73,296, use each of 10 digits 0-9 once.

 

45,900

[Math.]  Sum (in degrees) of all internal angles of a 257-side polygon.

A regular 257-side polygon is constructible by using only straightedge and compass.

 

45,910

[Math.]  Two multiples of number 9182, 9182×4 = 36,728 and 9182×5 = 45,910, use each of 10 digits 0-9 once.

 

45,936

[Math.]  Two multiples of number 5742, 5742×5 = 28,710 and 5742×8 = 45,936, use each of 10 digits 0-9 once.

 

45,946 

[Math.]  The 2nd known amicable/sociable number chain: 14316 → 19116 → 31704 → 47616 → 83328 → 177792 → 295488 → 629072 → 589786 → 294896 → 358336 → 418904 → 366556 → 274924 → 275444 → 243760 → 376736 → 381028 → 285778 → 152990 → 122410 → 97946 → 48976 → 45946 → 22976 → 22744 → 19916 → 17716 → 14316. (of 28 links, currently the longest, found by P. Poulet, 1918)

 

45,955

[Math.]  Two consecutive sums of consecutive square numbers:

782+792+802+812+822+832+842 = 45,955 =

852+862+872+882+892+902.

 

45nnn

[Zip]  U.S. Postal Zip Codes of Ohio: 43nnn-45nnn.