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495628965 = 3251317194361
BaseRepresentation
bin11101100010101…
…011001010100101
31021112121120010100
4131202223022211
52003340111330
6121103014313
715165530256
oct3542531245
91245546110
10495628965
11234851417
12119b9a399
137b8b46a0
1449b78b2d
152d7a3060
hex1d8ab2a5

495628965 has 192 divisors, whose sum is σ = 1072431360. Its totient is φ = 209018880.

The previous prime is 495628963. The next prime is 495628993. The reversal of 495628965 is 569826594.

It is a happy number.

495628965 is a `hidden beast` number, since 4 + 9 + 5 + 628 + 9 + 6 + 5 = 666.

It is not a de Polignac number, because 495628965 - 21 = 495628963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495628963) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8125035 + ... + 8125095.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2495628965 is an apocalyptic number.

495628965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495628965 is an abundant number, since it is smaller than the sum of its proper divisors (576802395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495628965 is a wasteful number, since it uses less digits than its factorization.

495628965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 161 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 495628965 is about 22262.7259112625. The cubic root of 495628965 is about 791.3808914734.

The spelling of 495628965 in words is "four hundred ninety-five million, six hundred twenty-eight thousand, nine hundred sixty-five".