49006752 has 72 divisors (see below), whose sum is σ = 133451136. Its totient is φ = 15746304.

The previous prime is 49006739. The next prime is 49006777. The reversal of 49006752 is 25760094.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80433 + ... + 81039.

It is an arithmetic number, because the mean of its divisors is an integer number (1853488).

Almost surely, 2^49006752 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 49006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66725568).

49006752 is an abundant number, since it is smaller than the sum of its proper divisors (84444384).

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

49006752 is a wasteful number, since it uses less digits than its factorization.

49006752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 49006752 is about 7000.4822691012. The cubic root of 49006752 is about 365.9473781434.

The spelling of 49006752 in words is "forty-nine million, six thousand, seven hundred fifty-two".