by Ed the Jetpacking Headbanger on November 9th, 2009

Ed the Jetpacking Headbanger

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What is special about the number 496?

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Answers. 11 helpful answers below.

  • by CHOOKY is GOLD on November 9th, 2009

    CHOOKY is GOLD

    http://en.wikipedia.org/wiki/496_(number)

    Its a perfect number

    496 is most notable for being a perfect number, and one of the earliest numbers to be recognized as such. As a perfect number, it is tied to the Mersenne prime 31, 25 - 1, with 24 ( 25 - 1 ) yielding 496. Also related to its being a perfect number, 496 is a harmonic divisor number, since the number of proper divisors of 496 divided by the sum of the reciprocals of its divisors, 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496, (the harmonic mean), yields an integer, 5 in this case.

    A triangular number and a hexagonal number, 496 is also a centered nonagonal number and a centered 11-gonal number. Being the 31st triangular number, 496 is the smallest counterexample to the hypothesis that one more than an even indexed triangular number is a prime number. It also happens to be the largest happy number under 500.

    There is no solution to the equation φ(x) = 496, making 496 a nontotient.

    E8 has real dimension 496.

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  • by philosopher-saint on November 9th, 2009

    philosopher-saint

    It's the *only* numerical quantity known in the universe that if divided by two equals 248.
    ;-)

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  • by temporary name on November 9th, 2009

    temporary name

    It's special because it's 1 more than 495.

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  • by Pumpkin Etoile on November 9th, 2009

    Pumpkin Etoile

    Its like 69 but backwards and with 4 people?

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  • by Alexander on November 9th, 2009

    Alexander

    It is perfectly equal to the sum of its proper divisors.

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  • by Factotum on November 9th, 2009

    Factotum

    It was always there for me when I needed it.

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  • by Hostie on November 9th, 2009

    Hostie

    496, 4+9+6 = 19 = my age!

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  • by Sharona Life is a Tale Told by an Idiot on November 9th, 2009

    Sharona Life is a Tale Told by an Idiot

    It comes directly after 495. Unbelievable.

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  • by Tom 47 is back in his bear COAT on November 9th, 2009

    Tom 47 is back in his bear COAT

    It can only be divided by two four times, then you have an odd number, thirty-one, not divisible by any number.

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  • by jeanie16 on November 9th, 2009

    jeanie16

    well, just because it is uniquely 496 ! :)

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  • by dumdum on November 9th, 2009

    dumdum

    Not so special for me.

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