49633008 has 80 divisors (see below), whose sum is σ = 132908160. Its totient is φ = 15950592.

The previous prime is 49632971. The next prime is 49633019. The reversal of 49633008 is 80033694.

It is a self number, because there is not a number n which added to its sum of digits gives 49633008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286810 + ... + 286982.

It is an arithmetic number, because the mean of its divisors is an integer number (1661352).

Almost surely, 2^49633008 is an apocalyptic number.

49633008 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 49633008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66454080).

49633008 is an abundant number, since it is smaller than the sum of its proper divisors (83275152).

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

49633008 is a wasteful number, since it uses less digits than its factorization.

49633008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 49633008 is about 7045.0697654459. The cubic root of 49633008 is about 367.4995955385.

The spelling of 49633008 in words is "forty-nine million, six hundred thirty-three thousand, eight".