Search a number
-
+
563301248 = 2731141961
BaseRepresentation
bin100001100100110…
…100101110000000
31110020221200001012
4201210310232000
52123201114443
6131521300052
716646660456
oct4144645600
91406850035
10563301248
11269a72624
12138794628
138c919863
1454b529d6
15346be118
hex21934b80

563301248 has 32 divisors (see below), whose sum is σ = 1158409920. Its totient is φ = 272563200.

The previous prime is 563301241. The next prime is 563301281. The reversal of 563301248 is 842103365.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563301241) 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 3 ways as a sum of consecutive naturals, for example, 67013 + ... + 74948.

It is an arithmetic number, because the mean of its divisors is an integer number (36200310).

Almost surely, 2563301248 is an apocalyptic number.

It is an amenable number.

563301248 is an abundant number, since it is smaller than the sum of its proper divisors (595108672).

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

563301248 is a wasteful number, since it uses less digits than its factorization.

563301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142006 (or 141994 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 563301248 is about 23733.9682312082. The cubic root of 563301248 is about 825.8735762830.

The spelling of 563301248 in words is "five hundred sixty-three million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 141961 283922 567844 1135688 2271376 4400791 4542752 8801582 9085504 17603164 18171008 35206328 70412656 140825312 281650624 563301248