48198200 has 48 divisors (see below), whose sum is σ = 114200280. Its totient is φ = 18911360.

The previous prime is 48198197. The next prime is 48198223. The reversal of 48198200 is 289184.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8327 + ... + 12873.

Almost surely, 2^48198200 is an apocalyptic number.

48198200 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 48198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57100140).

48198200 is an abundant number, since it is smaller than the sum of its proper divisors (66002080).

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

48198200 is a wasteful number, since it uses less digits than its factorization.

48198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 48198200 is about 6942.4923478532. The cubic root of 48198200 is about 363.9236445727.

The spelling of 48198200 in words is "forty-eight million, one hundred ninety-eight thousand, two hundred".