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563441268 = 2231321759277
BaseRepresentation
bin100001100101010…
…110111001110100
31110021012210010010
4201211112321310
52123220110033
6131524300220
716651112625
oct4145267164
91407183103
10563441268
1126a058845
12138841670
138c968500
1454b8ba4c
15346ea863
hex21956e74

563441268 has 144 divisors (see below), whose sum is σ = 1538429760. Its totient is φ = 159823872.

The previous prime is 563441243. The next prime is 563441269. The reversal of 563441268 is 862144365.

563441268 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563441269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2033946 + ... + 2034222.

It is an arithmetic number, because the mean of its divisors is an integer number (10683540).

Almost surely, 2563441268 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 563441268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769214880).

563441268 is an abundant number, since it is smaller than the sum of its proper divisors (974988492).

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

563441268 is a wasteful number, since it uses less digits than its factorization.

563441268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 563441268 is about 23736.9178285640. The cubic root of 563441268 is about 825.9419998476.

The spelling of 563441268 in words is "five hundred sixty-three million, four hundred forty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 169 177 204 221 236 277 338 354 442 507 554 663 676 708 767 831 884 1003 1014 1108 1326 1534 1662 2006 2028 2301 2652 2873 3009 3068 3324 3601 4012 4602 4709 5746 6018 7202 8619 9204 9418 9971 10803 11492 12036 13039 14127 14404 16343 17238 18836 19942 21606 26078 28254 29913 32686 34476 39117 39884 43212 46813 49029 52156 56508 59826 61217 65372 78234 93626 98058 119652 122434 140439 156468 169507 183651 187252 196116 212459 244868 277831 280878 339014 367302 424918 508521 555662 561756 637377 678028 734604 795821 833493 849836 1017042 1111324 1274754 1591642 1666986 2034084 2387463 2549508 2761967 3183284 3333972 3611803 4774926 5523934 7223606 8285901 9549852 10835409 11047868 14447212 16571802 21670818 33143604 43341636 46953439 93906878 140860317 187813756 281720634 563441268