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52685856 = 2533172211
BaseRepresentation
bin1100100011111…
…0110000100000
310200010201102000
43020332300200
5101441421411
65121124000
71206552036
oct310766040
9120121360
1052685856
1127815733
1215789600
13abb8a82
146dd6556
15495a956
hex323ec20

52685856 has 144 divisors (see below), whose sum is σ = 164011680. Its totient is φ = 16450560.

The previous prime is 52685849. The next prime is 52685887. The reversal of 52685856 is 65858625.

52685856 is a `hidden beast` number, since 5 + 2 + 68 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 249591 + ... + 249801.

It is an arithmetic number, because the mean of its divisors is an integer number (1138970).

Almost surely, 252685856 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 52685856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82005840).

52685856 is an abundant number, since it is smaller than the sum of its proper divisors (111325824).

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

52685856 is a wasteful number, since it uses less digits than its factorization.

52685856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 233 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 52685856 is about 7258.5023248601. The cubic root of 52685856 is about 374.8849567104.

The spelling of 52685856 in words is "fifty-two million, six hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 211 216 272 288 289 306 408 422 432 459 544 578 612 633 816 844 864 867 918 1156 1224 1266 1632 1688 1734 1836 1899 2312 2448 2532 2601 3376 3468 3587 3672 3798 4624 4896 5064 5202 5697 6752 6936 7174 7344 7596 7803 9248 10128 10404 10761 11394 13872 14348 14688 15192 15606 20256 20808 21522 22788 27744 28696 30384 31212 32283 41616 43044 45576 57392 60768 60979 62424 64566 83232 86088 91152 96849 114784 121958 124848 129132 172176 182304 182937 193698 243916 249696 258264 344352 365874 387396 487832 516528 548811 731748 774792 975664 1033056 1097622 1463496 1549584 1646433 1951328 2195244 2926992 3099168 3292866 4390488 5853984 6585732 8780976 13171464 17561952 26342928 52685856