49393800 has 120 divisors (see below), whose sum is σ = 171608250. Its totient is φ = 13167360.

The previous prime is 49393793. The next prime is 49393801. The reversal of 49393800 is 839394.

49393800 is a `hidden beast` number, since 493 + 93 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25948836 + 23444964 = 5094^2 + 4842^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49393801) 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 29 ways as a sum of consecutive naturals, for example, 14676 + ... + 17724.

Almost surely, 2^49393800 is an apocalyptic number.

49393800 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 49393800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85804125).

49393800 is an abundant number, since it is smaller than the sum of its proper divisors (122214450).

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

49393800 is a wasteful number, since it uses less digits than its factorization.

49393800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 49393800 is about 7028.0722819277. The cubic root of 49393800 is about 366.9082521783.

The spelling of 49393800 in words is "forty-nine million, three hundred ninety-three thousand, eight hundred".