496 (number)

Last updated
495 496 497
Cardinal four hundred ninety-six
Ordinal 496th
(four hundred ninety-sixth)
Factorization 24 × 31
Greek numeral ΥϞϚ´
Roman numeral CDXCVI, cdxcvi
Binary 1111100002
Ternary 2001013
Senary 21446
Octal 7608
Duodecimal 35412
Hexadecimal 1F016

496 (four hundred [and] ninety-six) is the natural number following 495 and preceding 497.

Contents

In mathematics

496 is most notable for being a perfect number, and one of the earliest numbers to be recognized as such; its factors (1, 2, 4, 8, 16, 31, 62, 124, 248) sum to 496.

496 is also a harmonic divisor number.

The group E8 has real dimension 496.

In physics

The number 496 is a very important number in superstring theory. In 1984, Michael Green and John H. Schwarz realized that one of the necessary conditions for a superstring theory to make sense is that the dimension of the gauge group of type I string theory must be 496. The group is therefore SO(32). Their discovery started the first superstring revolution. It was realized in 1985 that the heterotic string can admit another possible gauge group, namely E8 x E8.

Telephone numbers

The UK's Ofcom reserves telephone numbers in many dialing areas in the 496 local block for fictional purposes, such as 0114 496-1234. [1]

See also

References

  1. "Fake Number Ranges: Here are the numbers reserved exclusively for TV & Radio shows". NUM3ER Supermarket. 6 September 2018. Retrieved 2022-08-16.