48100008 has 64 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 14475200.

The previous prime is 48100007. The next prime is 48100033. The reversal of 48100008 is 80000184.

It is a super-3 number, since 3×48100008³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48100007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43543 + ... + 44633.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^48100008 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 48100008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

48100008 is an abundant number, since it is smaller than the sum of its proper divisors (83988312).

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

48100008 is a wasteful number, since it uses less digits than its factorization.

48100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 48100008 is about 6935.4169305097. The cubic root of 48100008 is about 363.6763415289.

The spelling of 48100008 in words is "forty-eight million, one hundred thousand, eight".