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495379566 = 232113232931
BaseRepresentation
bin11101100001101…
…110010001101110
31021112010220000100
4131201232101232
52003304121231
6121053411530
715163441203
oct3541562156
91245126010
10495379566
112346a1000
12119a99ba6
137b828006
1449b11caa
152d7541e6
hex1d86e46e

495379566 has 192 divisors, whose sum is σ = 1315491840. Its totient is φ = 134164800.

The previous prime is 495379561. The next prime is 495379583. The reversal of 495379566 is 665973594.

495379566 is a `hidden beast` number, since 4 + 9 + 5 + 3 + 79 + 566 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495379561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15979971 + ... + 15980001.

It is an arithmetic number, because the mean of its divisors is an integer number (6851520).

Almost surely, 2495379566 is an apocalyptic number.

495379566 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 495379566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657745920).

495379566 is an abundant number, since it is smaller than the sum of its proper divisors (820112274).

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

495379566 is a wasteful number, since it uses less digits than its factorization.

495379566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 495379566 is about 22257.1239381911. The cubic root of 495379566 is about 791.2481290433.

The spelling of 495379566 in words is "four hundred ninety-five million, three hundred seventy-nine thousand, five hundred sixty-six".