48006 has 32 divisors (see below), whose sum is σ = 122880. Its totient is φ = 13608.

The previous prime is 47981. The next prime is 48017. The reversal of 48006 is 60084.

48006 = T₄₄ + T₄₅ + ... + T₇₁.

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 48006.

It is a congruent number.

It is an unprimeable number.

48006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (3840).

2⁴⁸⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61440).

48006 is an abundant number, since it is smaller than the sum of its proper divisors (74874).

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

48006 is a wasteful number, since it uses less digits than its factorization.

48006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 48006 is about 219.1027156381. The cubic root of 48006 is about 36.3439260607.

The spelling of 48006 in words is "forty-eight thousand, six".