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67808 = 2513163
BaseRepresentation
bin10000100011100000
310110000102
4100203200
54132213
61241532
7401456
oct204340
9113012
1067808
1146a44
12332a8
1324b30
141a9d6
1515158
hex108e0

67808 has 24 divisors (see below), whose sum is σ = 144648. Its totient is φ = 31104.

The previous prime is 67807. The next prime is 67819. The reversal of 67808 is 80876.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335 + ... + 497.

It is an arithmetic number, because the mean of its divisors is an integer number (6027).

267808 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 67808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72324).

67808 is an abundant number, since it is smaller than the sum of its proper divisors (76840).

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

67808 is a wasteful number, since it uses less digits than its factorization.

67808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 67808 is about 260.3996927802. The cubic root of 67808 is about 40.7780992291.

The spelling of 67808 in words is "sixty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 163 208 326 416 652 1304 2119 2608 4238 5216 8476 16952 33904 67808