49934600 has 48 divisors (see below), whose sum is σ = 118030020. Its totient is φ = 19641600.

The previous prime is 49934579. The next prime is 49934609. The reversal of 49934600 is 643994.

It is a happy number.

49934600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4318084 + 45616516 = 2078^2 + 6754^2 .

It is not an unprimeable number, because it can be changed into a prime (49934609) 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 11 ways as a sum of consecutive naturals, for example, 10154 + ... + 14246.

Almost surely, 2^49934600 is an apocalyptic number.

49934600 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 49934600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59015010).

49934600 is an abundant number, since it is smaller than the sum of its proper divisors (68095420).

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

49934600 is a wasteful number, since it uses less digits than its factorization.

49934600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 49934600 is about 7066.4418203223. The cubic root of 49934600 is about 368.2424560078.

The spelling of 49934600 in words is "forty-nine million, nine hundred thirty-four thousand, six hundred".