49067424 has 288 divisors, whose sum is σ = 178113600. Its totient is φ = 13063680.

The previous prime is 49067413. The next prime is 49067437. The reversal of 49067424 is 42476094.

49067424 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 (288).

It is a super-2 number, since 2×49067424² = 4815224195991552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 804354 + ... + 804414.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^49067424 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 49067424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

49067424 is an abundant number, since it is smaller than the sum of its proper divisors (129046176).

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

49067424 is a wasteful number, since it uses less digits than its factorization.

49067424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 49067424 is about 7004.8143444348. The cubic root of 49067424 is about 366.0983342336.

The spelling of 49067424 in words is "forty-nine million, sixty-seven thousand, four hundred twenty-four".