49005792 has 144 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 14342400.

The previous prime is 49005791. The next prime is 49005793. The reversal of 49005792 is 29750094.

49005792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49005791) and next prime (49005793).

It is a tau number, because it is divible by the number of its divisors (144).

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 (49005791) 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 23 ways as a sum of consecutive naturals, for example, 97959 + ... + 98457.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 2^49005792 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 49005792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

49005792 is an abundant number, since it is smaller than the sum of its proper divisors (108242208).

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

49005792 is a wasteful number, since it uses less digits than its factorization.

49005792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 49005792 is about 7000.4137020608. The cubic root of 49005792 is about 365.9449885966.

The spelling of 49005792 in words is "forty-nine million, five thousand, seven hundred ninety-two".