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68864256 = 283841
BaseRepresentation
bin1000001101011…
…00100100000000
311210120200000000
410012230210000
5120112124011
610500000000
71464223266
oct406544400
9153520000
1068864256
113596580a
121b090000
13113618a6
149208436
1560a4356
hex41ac900

68864256 has 162 divisors, whose sum is σ = 211207542. Its totient is φ = 22394880.

The previous prime is 68864239. The next prime is 68864261. The reversal of 68864256 is 65246886.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 26873856 = 6480^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1679596 + ... + 1679636.

Almost surely, 268864256 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 68864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105603771).

68864256 is an abundant number, since it is smaller than the sum of its proper divisors (142343286).

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

68864256 is an frugal number, since it uses more digits than its factorization.

68864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 68864256 is about 8298.4490117130. The cubic root of 68864256 is about 409.8874487806.

The spelling of 68864256 in words is "sixty-eight million, eight hundred sixty-four thousand, two hundred fifty-six".