49816008 has 96 divisors (see below), whose sum is σ = 152006400. Its totient is φ = 14601600.

The previous prime is 49816007. The next prime is 49816009. The reversal of 49816008 is 80061894.

It is a happy number.

49816008 is a `hidden beast` number, since 49 + 8 + 1 + 600 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (49816007) and next prime (49816009).

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

It is not an unprimeable number, because it can be changed into a prime (49816007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23538 + ... + 25566.

It is an arithmetic number, because the mean of its divisors is an integer number (1583400).

Almost surely, 2^49816008 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 49816008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76003200).

49816008 is an abundant number, since it is smaller than the sum of its proper divisors (102190392).

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

49816008 is a wasteful number, since it uses less digits than its factorization.

49816008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49816008 is about 7058.0456218418. The cubic root of 49816008 is about 367.9507062203.

The spelling of 49816008 in words is "forty-nine million, eight hundred sixteen thousand, eight".