49993200 has 150 divisors (see below), whose sum is σ = 179537864. Its totient is φ = 13322880.

The previous prime is 49993193. The next prime is 49993201. The reversal of 49993200 is 239994.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49993201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31629 + ... + 33171.

Almost surely, 2^49993200 is an apocalyptic number.

49993200 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 49993200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89768932).

49993200 is an abundant number, since it is smaller than the sum of its proper divisors (129544664).

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

49993200 is a wasteful number, since it uses less digits than its factorization.

49993200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 49993200 is about 7070.5869629048. The cubic root of 49993200 is about 368.3864481641.

The spelling of 49993200 in words is "forty-nine million, nine hundred ninety-three thousand, two hundred".