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68705856 = 26321011181
BaseRepresentation
bin1000001100001…
…01111001000000
311210021121201100
410012011321000
5120042041411
610452334400
71462663422
oct406057100
9153247640
1068705856
11358677aa
121b014400
131130776b
1491a6812
156072456
hex4185e40

68705856 has 84 divisors (see below), whose sum is σ = 199051164. Its totient is φ = 22656000.

The previous prime is 68705851. The next prime is 68705867. The reversal of 68705856 is 65850786.

68705856 is a `hidden beast` number, since 68 + 7 + 0 + 585 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64641600 + 4064256 = 8040^2 + 2016^2 .

It is not an unprimeable number, because it can be changed into a prime (68705851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57586 + ... + 58766.

Almost surely, 268705856 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 68705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99525582).

68705856 is an abundant number, since it is smaller than the sum of its proper divisors (130345308).

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

68705856 is a wasteful number, since it uses less digits than its factorization.

68705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 68705856 is about 8288.8995650810. The cubic root of 68705856 is about 409.5729362408.

The spelling of 68705856 in words is "sixty-eight million, seven hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 192 202 288 303 404 576 606 808 909 1181 1212 1616 1818 2362 2424 3232 3543 3636 4724 4848 6464 7086 7272 9448 9696 10629 14172 14544 18896 19392 21258 28344 29088 37792 42516 56688 58176 75584 85032 113376 119281 170064 226752 238562 340128 357843 477124 680256 715686 954248 1073529 1431372 1908496 2147058 2862744 3816992 4294116 5725488 7633984 8588232 11450976 17176464 22901952 34352928 68705856