48252000 has 96 divisors (see below), whose sum is σ = 158112864. Its totient is φ = 12864000.

The previous prime is 48251981. The next prime is 48252013. The reversal of 48252000 is 25284.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9990 + ... + 14010.

It is an arithmetic number, because the mean of its divisors is an integer number (1647009).

Almost surely, 2^48252000 is an apocalyptic number.

48252000 is a gapful number since it is divisible by the number (40) 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 48252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056432).

48252000 is an abundant number, since it is smaller than the sum of its proper divisors (109860864).

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

48252000 is a wasteful number, since it uses less digits than its factorization.

48252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 48252000 is about 6946.3659563832. The cubic root of 48252000 is about 364.0590010224.

Adding to 48252000 its reverse (25284), we get a palindrome (48277284).

The spelling of 48252000 in words is "forty-eight million, two hundred fifty-two thousand".