49903200 has 216 divisors, whose sum is σ = 182800800. Its totient is φ = 12794880.

The previous prime is 49903193. The next prime is 49903201. The reversal of 49903200 is 230994.

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 (49903201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208681 + ... + 208919.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^49903200 is an apocalyptic number.

49903200 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 49903200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

49903200 is an abundant number, since it is smaller than the sum of its proper divisors (132897600).

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

49903200 is a wasteful number, since it uses less digits than its factorization.

49903200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49903200 is about 7064.2197021327. The cubic root of 49903200 is about 368.1652534427.

The spelling of 49903200 in words is "forty-nine million, nine hundred three thousand, two hundred".