About the Number 49 (forty-nine)

During May of 2006, GDT turned 49 years in age.

   49 is an odd
   49 is square (7 x 7)
   49 is not prime (prime factors are 7 and 7)

According to the Wikipedia, number 49 is a centered octagonal number given the following equation.

   (2n + 1)2

Examples...

   n = 0:  (2(0) + 1)^2  =  (0 + 1)^2 =  1
   n = 1:  (2(1) + 1)^2  =  (2 + 1)^2 =  9
   n = 2:  (2(2) + 1)^2  =  (4 + 1)^2 = 25
   n = 3:  (2(3) + 1)^2  =  (6 + 1)^2 = 49

The 49th day of the year occurs on February 18th.

George W. Bush is the 43rd President of the United States.

Alaska became a state in 1956 and it was the 49th State of the Union

Exercises
  1. The next "centered octagonal number" after number 49 is number ______.

  2. No or Yes. There have been at least 49 U.S. Presidents.

  3. No or Yes. Alaska became a state after GDT was born.

  4. If after George W. Bush no other U.S. Presidents get re-elected, the 49th U.S. President will be elected in the year ________. [Note: Presidential elections are held every four years. George W. Bush was re-elected in 2004.]

Update::2013.12.16

The MBNA (MathBabbler Number Analyst) started checking for odd square (i.e. centered orthagonal numbers) on 16 December 2013. 49 is a odd square because it's odd and it's a square number.

Lots of functionality was added to the MBNA since this nBAB was created on 28 May 2006.

MathBabbler Number Analyst (MBNA) output:
=========================================
49 is a natural, whole, integer
49 is odd
49 proper divisors are: 1,7,
49 has 2 proper divisors
49 is deficient (sum of divisors is 8; ratio: 0.163265)
49 is happy
49 is not a Squarefree Number: 49,
49 is not a Harshad number
49 is not prime
49 has the prime factors: 7*7 (sum=14)
49 is semiprime (biprime or 2-almost prime)
7...7...answer: 14
49 is undulating
49 and 50 are a Ruth-Aaron pair (distinct prime factors)
49 is a Padovan number(28+21)
49 is a lucky number
49 is powerful
49 is the sum of 3 consecutive primes
49 = 13 + 17 + 19
49 in octal is 061
49 in hexadecimal is 0x31
49 in binary is 110001 (is odious)
49 nearest square numbers: 49 is square (odd square/centered octagonal)
sqrt(49) = 7
ln(49) = 3.89182
log(49) = 1.6902
49 is 7^2
49 reciprocal is .02040816326530612244897959183673
49! is 6.08282e+62
49 is 15.5972 Pi years
49 is 2 score and 9 years
49 written as a Roman numeral is XLIX
49 = 25^2 - 24^2 and 25 + 24 = 49

Creator: Gerald D. Thurman [gthurman@gmail.com]
Created: 28 May 2006

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This work is licensed under a Creative Commons License.
RoadHacker Nanofoo

RoadHacker has never driven on a road numbered 49.