Search a number
-
+
3853808 = 247191811
BaseRepresentation
bin1110101100110111110000
321020210102122
432230313300
51441310213
6214333412
744520410
oct16546760
97223378
103853808
1121a2472
12135a268
13a4c17a
14724640
15511d08
hex3acdf0

3853808 has 40 divisors (see below), whose sum is σ = 8987520. Its totient is φ = 1563840.

The previous prime is 3853793. The next prime is 3853813. The reversal of 3853808 is 8083583.

3853808 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×38538082 = 29703672201728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1223 + ... + 3033.

It is an arithmetic number, because the mean of its divisors is an integer number (224688).

Almost surely, 23853808 is an apocalyptic number.

3853808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3853808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493760).

3853808 is an abundant number, since it is smaller than the sum of its proper divisors (5133712).

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

3853808 is a wasteful number, since it uses less digits than its factorization.

3853808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 3853808 is about 1963.1118154603. Note that the first 3 decimals coincide. The cubic root of 3853808 is about 156.7821772745.

The spelling of 3853808 in words is "three million, eight hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1811 2128 3622 7244 12677 14488 25354 28976 34409 50708 68818 101416 137636 202832 240863 275272 481726 550544 963452 1926904 3853808