495

495 is a natural number that follows 494 and precedes 496. In mathematics, it is an odd composite number with prime factorization 3^2 × 5 × 11, giving divisors such as 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

In base representations, 495 is 111101111 in binary, 0x1EF in hexadecimal, and 757 in octal. In Roman numerals, it is written as CDXCV.

Notable mathematical properties include that 495 equals the binomial coefficient C(12,4), the number of ways to choose four elements from a 12-element set. It is also one less than the triangular number T31, since T31 = 31×32/2 = 496. The sum of its digits is 18, and the number is divisible by 9, 5, and 11.

Beyond pure math, 495 appears in applied contexts. In telephony, 495 is the Moscow city area code within the Russian numbering plan (with country code +7).

Summary: 495 is a versatile integer with interesting factorization and combinatorial significance, multiple standard representations, and recognizable usage as an area code in Moscow. Its relationship to adjacent triangular numbers and regular divisibility properties are among the typical points cited in numeric references.

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