496 (number)

 ← 495 496 497 →
Cardinalfour hundred ninety-six
Ordinal496th
(four hundred ninety-sixth)
Factorization24× 31
Greek numeralΥϞϚ´
Roman numeralCDXCVI
Binary1111100002
Ternary2001013
Quaternary133004
Quinary34415
Senary21446
Octal7608
Duodecimal35412
Vigesimal14G20
Base 36DS36

496 (four hundred [and] ninety-six) is a natural number. It is after 495 and before 497.

In mathematics

496 is the third perfect number. 496 is also a harmonic divisor number. This is because 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) is an integer.

496 is also a triangular number, hexagonal number and a centered nonagonal number.[1] It is also the largest happy number less than 500.

There is no solution to the equation φ(x) = 496. This means that 496 is a nontotient.

References

1. "Centered 9-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-16.