48920832 has 108 divisors (see below), whose sum is σ = 149467500. Its totient is φ = 15335424.

The previous prime is 48920827. The next prime is 48920863. The reversal of 48920832 is 23802984.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 19501056 = 5424^2 + 4416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 38544 + ... + 39792.

Almost surely, 2^48920832 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 48920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74733750).

48920832 is an abundant number, since it is smaller than the sum of its proper divisors (100546668).

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

48920832 is a wasteful number, since it uses less digits than its factorization.

48920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48920832 is about 6994.3428569094. The cubic root of 48920832 is about 365.7333899990.

It can be divided in two parts, 489 and 20832, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 48920832 in words is "forty-eight million, nine hundred twenty thousand, eight hundred thirty-two".