49038 has 16 divisors (see below), whose sum is σ = 107136. Its totient is φ = 14840.

The previous prime is 49037. The next prime is 49043. The reversal of 49038 is 83094.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 48999 and 49017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁴⁹⁰³⁸ is an apocalyptic number.

49038 is an abundant number, since it is smaller than the sum of its proper divisors (58098).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568).

49038 is a wasteful number, since it uses less digits than its factorization.

49038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49038 is about 221.4452528279. The cubic root of 49038 is about 36.6025140857.

It can be divided in two parts, 490 and 38, that added together give a triangular number (528 = T₃₂).

The spelling of 49038 in words is "forty-nine thousand, thirty-eight".