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494646912 = 27381931
BaseRepresentation
bin11101011110111…
…011011010000000
31021110202200000000
4131132323122000
52003112200122
6121030000000
715154300164
oct3536733200
91243680000
10494646912
11234240601
121197a6000
137b62c6a6
14499a0ca4
152d65c0ac
hex1d7bb680

494646912 has 288 divisors, whose sum is σ = 1606051200. Its totient is φ = 151165440.

The previous prime is 494646907. The next prime is 494646949. The reversal of 494646912 is 219646494.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4946469122 = 489351135102271488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15956337 + ... + 15956367.

Almost surely, 2494646912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494646912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803025600).

494646912 is an abundant number, since it is smaller than the sum of its proper divisors (1111404288).

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

494646912 is an frugal number, since it uses more digits than its factorization.

494646912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 494646912 is about 22240.6589830427. The cubic root of 494646912 is about 790.8578578423.

The spelling of 494646912 in words is "four hundred ninety-four million, six hundred forty-six thousand, nine hundred twelve".