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68381856 = 2532283839
BaseRepresentation
bin1000001001101…
…10110010100000
311202200011021100
410010312302200
5120001204411
610441354400
71460144004
oct404666240
9152604240
1068381856
1135666334
121aa98a00
131122314a
149120704
15600b456
hex4136ca0

68381856 has 72 divisors (see below), whose sum is σ = 195380640. Its totient is φ = 22686336.

The previous prime is 68381843. The next prime is 68381857. The reversal of 68381856 is 65818386.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (68381857) 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, 81085 + ... + 81923.

It is an arithmetic number, because the mean of its divisors is an integer number (2713620).

Almost surely, 268381856 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 68381856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97690320).

68381856 is an abundant number, since it is smaller than the sum of its proper divisors (126998784).

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

68381856 is a wasteful number, since it uses less digits than its factorization.

68381856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 68381856 is about 8269.3322584112. The cubic root of 68381856 is about 408.9281063169.

It can be divided in two parts, 68 and 381856, that added together give a square (381924 = 6182).

The spelling of 68381856 in words is "sixty-eight million, three hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 839 849 1132 1678 1698 2264 2517 2547 3356 3396 4528 5034 5094 6712 6792 7551 9056 10068 10188 13424 13584 15102 20136 20376 26848 27168 30204 40272 40752 60408 80544 81504 120816 237437 241632 474874 712311 949748 1424622 1899496 2136933 2849244 3798992 4273866 5698488 7597984 8547732 11396976 17095464 22793952 34190928 68381856