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494558064 = 2432711134773
BaseRepresentation
bin11101011110100…
…101101101110000
31021110121011010100
4131132211231300
52003101324224
6121024032400
715153450150
oct3536455560
91243534110
10494558064
1123418a880
12119762700
137b5cb110
144997a760
152d640ac9
hex1d7a5b70

494558064 has 480 divisors, whose sum is σ = 1923876864. Its totient is φ = 114462720.

The previous prime is 494558063. The next prime is 494558123. The reversal of 494558064 is 460855494.

494558064 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 580 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494558063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6774732 + ... + 6774804.

Almost surely, 2494558064 is an apocalyptic number.

494558064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494558064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961938432).

494558064 is an abundant number, since it is smaller than the sum of its proper divisors (1429318800).

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

494558064 is a wasteful number, since it uses less digits than its factorization.

494558064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 494558064 is about 22238.6614705112. The cubic root of 494558064 is about 790.8105039657.

The spelling of 494558064 in words is "four hundred ninety-four million, five hundred fifty-eight thousand, sixty-four".