Search a number
-
+
663255600 = 243527233433
BaseRepresentation
bin100111100010000…
…111101000110000
31201020000212122020
4213202013220300
52324243134400
6145451511440
722302402540
oct4742075060
91636025566
10663255600
11310432827
12166158580
13a7545647
1464131320
153d3652a0
hex27887a30

663255600 has 240 divisors, whose sum is σ = 2534456832. Its totient is φ = 144967680.

The previous prime is 663255563. The next prime is 663255601. The reversal of 663255600 is 6552366.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (663255601) 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 47 ways as a sum of consecutive naturals, for example, 191484 + ... + 194916.

Almost surely, 2663255600 is an apocalyptic number.

663255600 is a gapful number since it is divisible by the number (60) 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 663255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267228416).

663255600 is an abundant number, since it is smaller than the sum of its proper divisors (1871201232).

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

663255600 is a wasteful number, since it uses less digits than its factorization.

663255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 663255600 is about 25753.7492416153. The cubic root of 663255600 is about 872.0879957771.

The spelling of 663255600 in words is "six hundred sixty-three million, two hundred fifty-five thousand, six hundred".