48173200 has 60 divisors (see below), whose sum is σ = 117211248. Its totient is φ = 19024000.

The previous prime is 48173179. The next prime is 48173221. The reversal of 48173200 is 237184.

It is an interprime number because it is at equal distance from previous prime (48173179) and next prime (48173221).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32475 + ... + 33925.

Almost surely, 2^48173200 is an apocalyptic number.

48173200 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 48173200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605624).

48173200 is an abundant number, since it is smaller than the sum of its proper divisors (69038048).

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

48173200 is a wasteful number, since it uses less digits than its factorization.

48173200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 48173200 is about 6940.6916081901. The cubic root of 48173200 is about 363.8607123152.

The spelling of 48173200 in words is "forty-eight million, one hundred seventy-three thousand, two hundred".