49528752 has 320 divisors, whose sum is σ = 179988480. Its totient is φ = 11354112.

The previous prime is 49528751. The next prime is 49528771. The reversal of 49528752 is 25782594.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (201600) is a multiple of the sum of its prime factors (100).

It is not an unprimeable number, because it can be changed into a prime (49528751) 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 63 ways as a sum of consecutive naturals, for example, 1707874 + ... + 1707902.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^49528752 is an apocalyptic number.

49528752 is a gapful number since it is divisible by the number (42) 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 49528752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

49528752 is an abundant number, since it is smaller than the sum of its proper divisors (130459728).

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

49528752 is a wasteful number, since it uses less digits than its factorization.

49528752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 49528752 is about 7037.6666587726. Note that the first 4 decimals coincide. The cubic root of 49528752 is about 367.2420995869.

The spelling of 49528752 in words is "forty-nine million, five hundred twenty-eight thousand, seven hundred fifty-two".