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52828243848 = 23331277872447
BaseRepresentation
bin110001001100110011…
…110000011110001000
312001100200122211211000
4301030303300132020
51331143012300343
640134032335000
73550063443432
oct611463603610
9161320584730
1052828243848
112044a191566
12a2a40a4460
134c9b9a87b3
1427b21c7652
151592d0ced3
hexc4ccf0788

52828243848 has 128 divisors (see below), whose sum is σ = 148149043200. Its totient is φ = 17441428032.

The previous prime is 52828243823. The next prime is 52828243859. The reversal of 52828243848 is 84834282825.

52828243848 is a `hidden beast` number, since 52 + 82 + 82 + 438 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 52828243794 and 52828243803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21587761 + ... + 21590207.

It is an arithmetic number, because the mean of its divisors is an integer number (1157414400).

Almost surely, 252828243848 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 52828243848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74074521600).

52828243848 is an abundant number, since it is smaller than the sum of its proper divisors (95320799352).

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

52828243848 is a wasteful number, since it uses less digits than its factorization.

52828243848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3376 (or 3366 counting only the distinct ones).

The product of its digits is 7864320, while the sum is 54.

The spelling of 52828243848 in words is "fifty-two billion, eight hundred twenty-eight million, two hundred forty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 787 1016 1143 1524 1574 2286 2361 2447 3048 3148 3429 4572 4722 4894 6296 6858 7083 7341 9144 9444 9788 13716 14166 14682 18888 19576 21249 22023 27432 28332 29364 42498 44046 56664 58728 66069 84996 88092 99949 132138 169992 176184 199898 264276 299847 310769 399796 528552 599694 621538 799592 899541 932307 1199388 1243076 1799082 1864614 1925789 2398776 2486152 2698623 2796921 3598164 3729228 3851578 5397246 5593842 5777367 7196328 7458456 7703156 8390763 10794492 11187684 11554734 15406312 16781526 17332101 21588984 22375368 23109468 33563052 34664202 46218936 51996303 67126104 69328404 103992606 138656808 207985212 244575203 415970424 489150406 733725609 978300812 1467451218 1956601624 2201176827 2934902436 4402353654 5869804872 6603530481 8804707308 13207060962 17609414616 26414121924 52828243848