48193200 has 180 divisors, whose sum is σ = 182597688. Its totient is φ = 11673600.

The previous prime is 48193183. The next prime is 48193219. The reversal of 48193200 is 239184.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38992 + ... + 40208.

Almost surely, 2^48193200 is an apocalyptic number.

48193200 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 48193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91298844).

48193200 is an abundant number, since it is smaller than the sum of its proper divisors (134404488).

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

48193200 is a wasteful number, since it uses less digits than its factorization.

48193200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48193200 is about 6942.1322372885. The cubic root of 48193200 is about 363.9110598624.

The spelling of 48193200 in words is "forty-eight million, one hundred ninety-three thousand, two hundred".