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494160768 = 27322511709
BaseRepresentation
bin11101011101000…
…100101110000000
31021102211222010200
4131131010232000
52003001121033
6121011325200
715150203643
oct3535045600
91242758120
10494160768
11233a39332
121195b0800
137b4bc32a
14498b5a5a
152d5b3013
hex1d744b80

494160768 has 96 divisors (see below), whose sum is σ = 1428499800. Its totient is φ = 163968000.

The previous prime is 494160767. The next prime is 494160787. The reversal of 494160768 is 867061494.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494160763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288298 + ... + 290006.

Almost surely, 2494160768 is an apocalyptic number.

494160768 is a gapful number since it is divisible by the number (48) 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 494160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714249900).

494160768 is an abundant number, since it is smaller than the sum of its proper divisors (934339032).

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

494160768 is a wasteful number, since it uses less digits than its factorization.

494160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 494160768 is about 22229.7271238313. The cubic root of 494160768 is about 790.5986852110.

The spelling of 494160768 in words is "four hundred ninety-four million, one hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 288 384 502 576 753 1004 1152 1506 1709 2008 2259 3012 3418 4016 4518 5127 6024 6836 8032 9036 10254 12048 13672 15381 16064 18072 20508 24096 27344 30762 32128 36144 41016 48192 54688 61524 72288 82032 96384 109376 123048 144576 164064 218752 246096 289152 328128 428959 492192 656256 857918 984384 1286877 1715836 1968768 2573754 3431672 3860631 5147508 6863344 7721262 10295016 13726688 15442524 20590032 27453376 30885048 41180064 54906752 61770096 82360128 123540192 164720256 247080384 494160768