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494096064 = 263711191759
BaseRepresentation
bin11101011100110…
…100111011000000
31021102201200101020
4131130310323000
52002442033224
6121010105440
715146514210
oct3534647300
91242650336
10494096064
112339a4760
1211957b280
137b498a47
144989a240
152d59dc79
hex1d734ec0

494096064 has 224 divisors, whose sum is σ = 1716633600. Its totient is φ = 121512960.

The previous prime is 494096059. The next prime is 494096093. The reversal of 494096064 is 460690494.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 280017 + ... + 281775.

Almost surely, 2494096064 is an apocalyptic number.

494096064 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 494096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858316800).

494096064 is an abundant number, since it is smaller than the sum of its proper divisors (1222537536).

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

494096064 is a wasteful number, since it uses less digits than its factorization.

494096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 494096064 is about 22228.2717276895. The cubic root of 494096064 is about 790.5641774600.

The spelling of 494096064 in words is "four hundred ninety-four million, ninety-six thousand, sixty-four".