48106688 has 56 divisors (see below), whose sum is σ = 109923072. Its totient is φ = 20461824.

The previous prime is 48106687. The next prime is 48106691. The reversal of 48106688 is 88660184.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×48106688³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48106687) 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 7 ways as a sum of consecutive naturals, for example, 74495 + ... + 75137.

It is an arithmetic number, because the mean of its divisors is an integer number (1962912).

Almost surely, 2^48106688 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 48106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54961536).

48106688 is an abundant number, since it is smaller than the sum of its proper divisors (61816384).

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

48106688 is a wasteful number, since it uses less digits than its factorization.

48106688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 48106688 is about 6935.8984998340. The cubic root of 48106688 is about 363.6931762144.

The spelling of 48106688 in words is "forty-eight million, one hundred six thousand, six hundred eighty-eight".