## Friday, August 6, 2010

### 612

612 = 22 x 32 x 17.

612 has a representation as a sum of two squares: 612 = 62 + 242.

612 is a number whose square (374544) and cube (229220928) use different digits.

612 can be represented as two consecutive sums of consecutive numbers: 612 = 64 + 65 + . . . + 71 + 72 = 73 + 74 + . . . + 79 + 80.

612 is 4422 in base 5 and 1144 in base 8; it is 2500 in base 6 and 750 in base 9; it is 211200 in base 3 and 21210 in base 4 and 220 in base 17.

612 is a telephone area code for Minneapolis/St. Paul, Minnesota.

Source: Numeropedia

#### 1 comment:

Anonymous said...

Other properties of 612
612=5^4-13
612=22^2+2^7
612=26^2-2^6
612=8^2+8^2+22^2
612=12^2+12^2+18^2
612 divides 35^2-1
Can be represented as Pythagorean triples:
612^2=288^2+540^2
612^2+93635^2=93637^2
612 is a Harshad number and that 612/(6+1+2)=68, is divisible by the sum of its figures.
612 can be represented as the sum of a square and a prime number:
612=23^2+83=19^2+251=17^2+323
Or as opposed to a square and a prime number:
612=29^2-229=31^2-349=35^2-613
Rafael Parra Machio