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3848 = 231337
BaseRepresentation
bin111100001000
312021112
4330020
5110343
625452
714135
oct7410
95245
103848
112989
122288
1319a0
14158c
151218
hexf08

3848 has 16 divisors (see below), whose sum is σ = 7980. Its totient is φ = 1728.

The previous prime is 3847. The next prime is 3851. The reversal of 3848 is 8483.

3848 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 4 = 62^2 + 2^2 .

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 8.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3847) 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, 86 + ... + 122.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990).

3848 is an abundant number, since it is smaller than the sum of its proper divisors (4132).

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

3848 is a wasteful number, since it uses less digits than its factorization.

3848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 3848 is about 62.0322496771. The cubic root of 3848 is about 15.6703376539.

The spelling of 3848 in words is "three thousand, eight hundred forty-eight".