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494194560 = 27351922331
BaseRepresentation
bin11101011101001…
…100111110000000
31021102220200111020
4131131030332000
52003003211220
6121012145440
715150404316
oct3535147600
91242820436
10494194560
11233a61762
12119608280
137b501822
14498c40b6
152d5bd040
hex1d74cf80

494194560 has 384 divisors, whose sum is σ = 1790760960. Its totient is φ = 115568640.

The previous prime is 494194559. The next prime is 494194567. The reversal of 494194560 is 65491494.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494194567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15941745 + ... + 15941775.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 2494194560 is an apocalyptic number.

494194560 is a gapful number since it is divisible by the number (40) 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 494194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895380480).

494194560 is an abundant number, since it is smaller than the sum of its proper divisors (1296566400).

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

494194560 is a wasteful number, since it uses less digits than its factorization.

494194560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 494194560 is about 22230.4871741489. The cubic root of 494194560 is about 790.6167058658.

The spelling of 494194560 in words is "four hundred ninety-four million, one hundred ninety-four thousand, five hundred sixty".