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563384328 = 233133121879
BaseRepresentation
bin100001100101001…
…001000000001000
31110021002220000020
4201211021000020
52123211244303
6131523140440
716650454623
oct4145110010
91407086006
10563384328
1126a019a91
12138814720
138c948610
1454b74dba
15346d8a53
hex21949008

563384328 has 96 divisors (see below), whose sum is σ = 1568145600. Its totient is φ = 167667840.

The previous prime is 563384317. The next prime is 563384351. The reversal of 563384328 is 823483365.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 563384328.

It is a congruent number.

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, 298893 + ... + 300771.

It is an arithmetic number, because the mean of its divisors is an integer number (16334850).

Almost surely, 2563384328 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 563384328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784072800).

563384328 is an abundant number, since it is smaller than the sum of its proper divisors (1004761272).

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

563384328 is a wasteful number, since it uses less digits than its factorization.

563384328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1928 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 563384328 is about 23735.7184007563. The cubic root of 563384328 is about 825.9141763492.

The spelling of 563384328 in words is "five hundred sixty-three million, three hundred eighty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 961 1209 1612 1879 1922 2418 2883 3224 3758 3844 4836 5637 5766 7516 7688 9672 11274 11532 12493 15032 22548 23064 24427 24986 37479 45096 48854 49972 58249 73281 74958 97708 99944 116498 146562 149916 174747 195416 232996 293124 299832 349494 465992 586248 698988 757237 1397976 1514474 1805719 2271711 3028948 3611438 4543422 5417157 6057896 7222876 9086844 10834314 14445752 18173688 21668628 23474347 43337256 46948694 70423041 93897388 140846082 187794776 281692164 563384328