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494436096 = 2833711929
BaseRepresentation
bin11101011110000…
…111111100000000
31021110100221211000
4131132013330000
52003033423341
6121021252000
715152431440
oct3536077400
91243327730
10494436096
11234107180
12119704000
137b58774b
1449948120
152d6198b6
hex1d787f00

494436096 has 288 divisors, whose sum is σ = 1824883200. Its totient is φ = 128286720.

The previous prime is 494436053. The next prime is 494436101. The reversal of 494436096 is 690634494.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531760 + ... + 532688.

It is an arithmetic number, because the mean of its divisors is an integer number (6336400).

Almost surely, 2494436096 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 494436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912441600).

494436096 is an abundant number, since it is smaller than the sum of its proper divisors (1330447104).

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

494436096 is a wasteful number, since it uses less digits than its factorization.

494436096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 494436096 is about 22235.9190500415. The cubic root of 494436096 is about 790.7454886771.

The spelling of 494436096 in words is "four hundred ninety-four million, four hundred thirty-six thousand, ninety-six".