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494936064 = 2133272137
BaseRepresentation
bin11101100000000…
…010000000000000
31021111022100122100
4131200002000000
52003200423224
6121040110400
715156613200
oct3540020000
91244270570
10494936064
11234418877
12119905400
137b70119c
1449a38400
152d6b7ac9
hex1d802000

494936064 has 252 divisors, whose sum is σ = 1675292814. Its totient is φ = 140378112.

The previous prime is 494936053. The next prime is 494936077. The reversal of 494936064 is 460639494.

It is a happy number.

494936064 is a `hidden beast` number, since 49 + 493 + 60 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406425600 + 88510464 = 20160^2 + 9408^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3612604 + ... + 3612740.

Almost surely, 2494936064 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 494936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837646407).

494936064 is an abundant number, since it is smaller than the sum of its proper divisors (1180356750).

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

494936064 is a wasteful number, since it uses less digits than its factorization.

494936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

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

The square root of 494936064 is about 22247.1585601398. The cubic root of 494936064 is about 791.0119297546.

The spelling of 494936064 in words is "four hundred ninety-four million, nine hundred thirty-six thousand, sixty-four".