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3855 = 35257
BaseRepresentation
bin111100001111
312021210
4330033
5110410
625503
714145
oct7417
95253
103855
112995
122293
1319a7
141595
151220
hexf0f

3855 has 8 divisors (see below), whose sum is σ = 6192. Its totient is φ = 2048.

The previous prime is 3853. The next prime is 3863. The reversal of 3855 is 5583.

3855 is nontrivially palindromic in base 2, base 4 and base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 11-Lehmer number, since φ(3855) divides (3855-1)11.

It is a cyclic number.

It is not a de Polignac number, because 3855 - 21 = 3853 is a prime.

It is a super-2 number, since 2×38552 = 29722050, which contains 22 as substring.

3855 is an undulating number in base 16.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3855.

It is not an unprimeable number, because it can be changed into a prime (3851) by changing a digit.

In principle, a polygon with 3855 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (774).

3855 is a deficient number, since it is larger than the sum of its proper divisors (2337).

3855 is a wasteful number, since it uses less digits than its factorization.

3855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its digits is 600, while the sum is 21.

The square root of 3855 is about 62.0886463051. The cubic root of 3855 is about 15.6798340084.

Subtracting 3855 from its reverse (5583), we obtain a cube (1728 = 123).

It can be divided in two parts, 3 and 855, that added together give a palindrome (858).

The spelling of 3855 in words is "three thousand, eight hundred fifty-five".

Divisors: 1 3 5 15 257 771 1285 3855