48852000 has 288 divisors, whose sum is σ = 183980160. Its totient is φ = 12249600.

The previous prime is 48851993. The next prime is 48852007. The reversal of 48852000 is 25884.

It is an interprime number because it is at equal distance from previous prime (48851993) and next prime (48852007).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (48852007) 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 47 ways as a sum of consecutive naturals, for example, 827971 + ... + 828029.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^48852000 is an apocalyptic number.

48852000 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 48852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

48852000 is an abundant number, since it is smaller than the sum of its proper divisors (135128160).

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

48852000 is a wasteful number, since it uses less digits than its factorization.

48852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 48852000 is about 6989.4205768433. The cubic root of 48852000 is about 365.5617795579.

Adding to 48852000 its reverse (25884), we get a palindrome (48877884).

The spelling of 48852000 in words is "forty-eight million, eight hundred fifty-two thousand".