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494241792 = 21131171103
BaseRepresentation
bin11101011101011…
…000100000000000
31021110000002021120
4131131120200000
52003011214132
6121013152240
715150662112
oct3535304000
91243002246
10494241792
11233a941a0
1211962b680
137b51a185
14498d73b2
152d5cc02c
hex1d758800

494241792 has 192 divisors, whose sum is σ = 1471841280. Its totient is φ = 146227200.

The previous prime is 494241767. The next prime is 494241793. The reversal of 494241792 is 297142494.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (494241793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4798413 + ... + 4798515.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2494241792 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 494241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640).

494241792 is an abundant number, since it is smaller than the sum of its proper divisors (977599488).

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

494241792 is a wasteful number, since it uses less digits than its factorization.

494241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 494241792 is about 22231.5494736647. The cubic root of 494241792 is about 790.6418924500.

The spelling of 494241792 in words is "four hundred ninety-four million, two hundred forty-one thousand, seven hundred ninety-two".