48959904 has 96 divisors (see below), whose sum is σ = 150546816. Its totient is φ = 13639680.

The previous prime is 48959887. The next prime is 48959927. The reversal of 48959904 is 40995984.

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

It is a super-3 number, since 3×48959904³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26664 + ... + 28440.

It is an arithmetic number, because the mean of its divisors is an integer number (1568196).

Almost surely, 2^48959904 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 48959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75273408).

48959904 is an abundant number, since it is smaller than the sum of its proper divisors (101586912).

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

48959904 is a wasteful number, since it uses less digits than its factorization.

48959904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 48959904 is about 6997.1354138676. The cubic root of 48959904 is about 365.8307318455.

The spelling of 48959904 in words is "forty-eight million, nine hundred fifty-nine thousand, nine hundred four".