49513200 has 240 divisors, whose sum is σ = 180083712. Its totient is φ = 11616000.

The previous prime is 49513193. The next prime is 49513223. The reversal of 49513200 is 231594.

49513200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597185 + ... + 1597215.

Almost surely, 2^49513200 is an apocalyptic number.

49513200 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 49513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90041856).

49513200 is an abundant number, since it is smaller than the sum of its proper divisors (130570512).

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

49513200 is a wasteful number, since it uses less digits than its factorization.

49513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 49513200 is about 7036.5616603566. The cubic root of 49513200 is about 367.2036576261.

Adding to 49513200 its reverse (231594), we get a palindrome (49744794).

It can be divided in two parts, 495 and 13200, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 49513200 in words is "forty-nine million, five hundred thirteen thousand, two hundred".