48106464 has 96 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 12933120.

The previous prime is 48106453. The next prime is 48106483. The reversal of 48106464 is 46460184.

48106464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×48106464³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9319 + ... + 13529.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 2^48106464 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 48106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

48106464 is an abundant number, since it is smaller than the sum of its proper divisors (104738592).

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

48106464 is a wasteful number, since it uses less digits than its factorization.

48106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48106464 is about 6935.8823519434. The cubic root of 48106464 is about 363.6926117232.

The spelling of 48106464 in words is "forty-eight million, one hundred six thousand, four hundred sixty-four".