48943200 has 72 divisors (see below), whose sum is σ = 159317928. Its totient is φ = 13050880.

The previous prime is 48943199. The next prime is 48943201. The reversal of 48943200 is 234984.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48943199) and next prime (48943201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48943201) 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 11 ways as a sum of consecutive naturals, for example, 7797 + ... + 12596.

It is an arithmetic number, because the mean of its divisors is an integer number (2212749).

Almost surely, 2^48943200 is an apocalyptic number.

48943200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48943200 is an abundant number, since it is smaller than the sum of its proper divisors (110374728).

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

48943200 is a wasteful number, since it uses less digits than its factorization.

48943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20416 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 48943200 is about 6995.9416807175. The cubic root of 48943200 is about 365.7891227522.

The spelling of 48943200 in words is "forty-eight million, nine hundred forty-three thousand, two hundred".