49032 has 32 divisors (see below), whose sum is σ = 136800. Its totient is φ = 16272.

The previous prime is 49031. The next prime is 49033. The reversal of 49032 is 23094.

It is an interprime number because it is at equal distance from previous prime (49031) and next prime (49033).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 48996 and 49014.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2⁴⁹⁰³² 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 49032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400).

49032 is an abundant number, since it is smaller than the sum of its proper divisors (87768).

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

49032 is a wasteful number, since it uses less digits than its factorization.

49032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 49032 is about 221.4317050470. The cubic root of 49032 is about 36.6010212024.

The spelling of 49032 in words is "forty-nine thousand, thirty-two".