49934304 has 288 divisors, whose sum is σ = 181149696. Its totient is φ = 12718080.

The previous prime is 49934303. The next prime is 49934323. The reversal of 49934304 is 40343994.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×49934304³ (a number of 24 digits) contains 333 as substring.

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 (49934303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062409 + ... + 1062455.

It is an arithmetic number, because the mean of its divisors is an integer number (628992).

Almost surely, 2^49934304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49934304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

49934304 is an abundant number, since it is smaller than the sum of its proper divisors (131215392).

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

49934304 is a wasteful number, since it uses less digits than its factorization.

49934304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 49934304 is about 7066.4208762286. The cubic root of 49934304 is about 368.2417283895.

The spelling of 49934304 in words is "forty-nine million, nine hundred thirty-four thousand, three hundred four".