49501008 has 120 divisors (see below), whose sum is σ = 149229288. Its totient is φ = 15261696.

The previous prime is 49501003. The next prime is 49501013. The reversal of 49501008 is 80010594.

49501008 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 (49501003) and next prime (49501013).

It can be written as a sum of positive squares in 4 ways, for example, as 7354944 + 42146064 = 2712^2 + 6492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49501003) 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, 178566 + ... + 178842.

Almost surely, 2^49501008 is an apocalyptic number.

49501008 is a gapful number since it is divisible by the number (48) 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 49501008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74614644).

49501008 is an abundant number, since it is smaller than the sum of its proper divisors (99728280).

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

49501008 is a wasteful number, since it uses less digits than its factorization.

49501008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 49501008 is about 7035.6952748112. The cubic root of 49501008 is about 367.1735153980.

The spelling of 49501008 in words is "forty-nine million, five hundred one thousand, eight".