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563041044 = 22341819601
BaseRepresentation
bin100001100011110…
…101001100010100
31110020110110010000
4201203311030110
52123114303134
6131511531300
716644525036
oct4143651424
91406413100
10563041044
11269905085
12138689b30
138c8582a7
1454ac5c56
153466be99
hex218f5314

563041044 has 60 divisors (see below), whose sum is σ = 1480186708. Its totient is φ = 186624000.

The previous prime is 563041027. The next prime is 563041057. The reversal of 563041044 is 440140365.

It can be written as a sum of positive squares in 2 ways, for example, as 174556944 + 388484100 = 13212^2 + 19710^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 563040999 and 563041017.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 53844 + ... + 63444.

Almost surely, 2563041044 is an apocalyptic number.

563041044 is a gapful number since it is divisible by the number (54) 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 563041044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740093354).

563041044 is an abundant number, since it is smaller than the sum of its proper divisors (917145664).

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

563041044 is a wasteful number, since it uses less digits than its factorization.

563041044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798 (or 9787 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 563041044 is about 23728.4859188276. The cubic root of 563041044 is about 825.7463922905.

The spelling of 563041044 in words is "five hundred sixty-three million, forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 543 724 1086 1629 2172 3258 4887 6516 9601 9774 14661 19202 19548 28803 29322 38404 57606 58644 86409 115212 172818 259227 345636 518454 777681 1036908 1555362 1737781 3110724 3475562 5213343 6951124 10426686 15640029 20853372 31280058 46920087 62560116 93840174 140760261 187680348 281520522 563041044