49252000 has 96 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 16876800.

The previous prime is 49251959. The next prime is 49252001. The reversal of 49252000 is 25294.

It is a happy number.

49252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49252001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27121 + ... + 28879.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 2^49252000 is an apocalyptic number.

49252000 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 49252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

49252000 is an abundant number, since it is smaller than the sum of its proper divisors (89126240).

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

49252000 is a wasteful number, since it uses less digits than its factorization.

49252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 49252000 is about 7017.9769164625. The cubic root of 49252000 is about 366.5568082268.

Adding to 49252000 its reverse (25294), we get a palindrome (49277294).

The spelling of 49252000 in words is "forty-nine million, two hundred fifty-two thousand".