48200 has 24 divisors (see below), whose sum is σ = 112530. Its totient is φ = 19200.

The previous prime is 48197. The next prime is 48221. The reversal of 48200 is 284.

48200 = T₅₁ + T₅₂ + ... + T₇₄.

48200 = 5² + 6² + ... + 52².

It can be written as a sum of positive squares in 3 ways, for example, as 40804 + 7396 = 202^2 + 86^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80 + ... + 320.

2⁴⁸²⁰⁰ is an apocalyptic number.

48200 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 48200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56265).

48200 is an abundant number, since it is smaller than the sum of its proper divisors (64330).

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

48200 is a wasteful number, since it uses less digits than its factorization.

48200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 48200 is about 219.5449840010. The cubic root of 48200 is about 36.3928174855.

Adding to 48200 its reverse (284), we get a palindrome (48484).

The spelling of 48200 in words is "forty-eight thousand, two hundred".