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563568096 = 253713312081
BaseRepresentation
bin100001100101110…
…101110111100000
31110021110020002110
4201211311313200
52123233134341
6131531115320
716652151450
oct4145656740
91407406073
10563568096
1126a135063
121388a2b40
138c9b1160
1454bc1d60
1534723216
hex21975de0

563568096 has 192 divisors, whose sum is σ = 1880395776. Its totient is φ = 143769600.

The previous prime is 563568079. The next prime is 563568097. The reversal of 563568096 is 690865365.

563568096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563568097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269776 + ... + 271856.

It is an arithmetic number, because the mean of its divisors is an integer number (9793728).

Almost surely, 2563568096 is an apocalyptic number.

563568096 is a gapful number since it is divisible by the number (56) 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 563568096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940197888).

563568096 is an abundant number, since it is smaller than the sum of its proper divisors (1316827680).

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

563568096 is a wasteful number, since it uses less digits than its factorization.

563568096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 563568096 is about 23739.5892129582. The cubic root of 563568096 is about 826.0039670949.

The spelling of 563568096 in words is "five hundred sixty-three million, five hundred sixty-eight thousand, ninety-six".