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563994252 = 22351930539
BaseRepresentation
bin100001100111011…
…101111010001100
31110022020212200000
4201213131322030
52123340304002
6131544204300
716655605053
oct4147357214
91408225600
10563994252
1126a3a6258
12138a69690
138cb00113
1454c9339a
15347a961c
hex219dde8c

563994252 has 72 divisors (see below), whose sum is σ = 1556318400. Its totient is φ = 178097616.

The previous prime is 563994203. The next prime is 563994269. The reversal of 563994252 is 252499365.

563994252 is a `hidden beast` number, since 5 + 6 + 399 + 4 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 563994198 and 563994207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199 + ... + 33737.

Almost surely, 2563994252 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 563994252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778159200).

563994252 is an abundant number, since it is smaller than the sum of its proper divisors (992324148).

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

563994252 is a wasteful number, since it uses less digits than its factorization.

563994252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30577 (or 30563 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 563994252 is about 23748.5631565364. The cubic root of 563994252 is about 826.2121157701.

The spelling of 563994252 in words is "five hundred sixty-three million, nine hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468 30539 61078 91617 122156 183234 274851 366468 549702 580241 824553 1099404 1160482 1649106 1740723 2320964 2473659 3298212 3481446 4947318 5222169 6962892 7420977 9894636 10444338 14841954 15666507 20888676 29683908 31333014 46999521 62666028 93999042 140998563 187998084 281997126 563994252