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494718336 = 27327311979
BaseRepresentation
bin11101011111001…
…100110110000000
31021110220021222100
4131133030312000
52003121441321
6121031310400
715155015340
oct3537146600
91243807870
10494718336
1123428a232
1211981b400
137b656058
14499bcd20
152d673326
hex1d7ccd80

494718336 has 192 divisors, whose sum is σ = 1680307200. Its totient is φ = 136719360.

The previous prime is 494718313. The next prime is 494718347. The reversal of 494718336 is 633817494.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 494718291 and 494718300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248995 + ... + 250973.

It is an arithmetic number, because the mean of its divisors is an integer number (8751600).

Almost surely, 2494718336 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 494718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840153600).

494718336 is an abundant number, since it is smaller than the sum of its proper divisors (1185588864).

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

494718336 is a wasteful number, since it uses less digits than its factorization.

494718336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2022 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 494718336 is about 22242.2646329010. The cubic root of 494718336 is about 790.8959210289.

The spelling of 494718336 in words is "four hundred ninety-four million, seven hundred eighteen thousand, three hundred thirty-six".