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538847820 = 223257538069
BaseRepresentation
bin100000000111100…
…010101001001100
31101112221022020200
4200013202221030
52100421112240
6125245213500
716232062620
oct4007425114
91345838220
10538847820
11257190385
12130561290
1387837384
14517c9180
153248d930
hex201e2a4c

538847820 has 144 divisors (see below), whose sum is σ = 1903487040. Its totient is φ = 120826368.

The previous prime is 538847819. The next prime is 538847839. The reversal of 538847820 is 28748835.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 62746 + ... + 70814.

It is an arithmetic number, because the mean of its divisors is an integer number (13218660).

Almost surely, 2538847820 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 538847820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951743520).

538847820 is an abundant number, since it is smaller than the sum of its proper divisors (1364639220).

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

538847820 is a wasteful number, since it uses less digits than its factorization.

538847820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 538847820 is about 23213.0958728042. The cubic root of 538847820 is about 813.7457063348.

The spelling of 538847820 in words is "five hundred thirty-eight million, eight hundred forty-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 53 60 63 70 84 90 105 106 126 140 159 180 210 212 252 265 315 318 371 420 477 530 630 636 742 795 954 1060 1113 1260 1484 1590 1855 1908 2226 2385 3180 3339 3710 4452 4770 5565 6678 7420 8069 9540 11130 13356 16138 16695 22260 24207 32276 33390 40345 48414 56483 66780 72621 80690 96828 112966 121035 145242 161380 169449 225932 242070 282415 290484 338898 363105 427657 484140 508347 564830 677796 726210 847245 855314 1016694 1129660 1282971 1452420 1694490 1710628 2033388 2138285 2541735 2565942 2993599 3388980 3848913 4276570 5083470 5131884 5987198 6414855 7697826 8553140 8980797 10166940 11974396 12829710 14967995 15395652 17961594 19244565 25659420 26942391 29935990 35923188 38489130 44903985 53884782 59871980 76978260 89807970 107769564 134711955 179615940 269423910 538847820