48947040 has 144 divisors (see below), whose sum is σ = 175921200. Its totient is φ = 12358656.

The previous prime is 48947039. The next prime is 48947053. The reversal of 48947040 is 4074984.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 48946986 and 48947004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26466 + ... + 28254.

It is an arithmetic number, because the mean of its divisors is an integer number (1221675).

Almost surely, 2^48947040 is an apocalyptic number.

48947040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87960600).

48947040 is an abundant number, since it is smaller than the sum of its proper divisors (126974160).

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

48947040 is a wasteful number, since it uses less digits than its factorization.

48947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 48947040 is about 6996.2161201610. The cubic root of 48947040 is about 365.7986888989.

The spelling of 48947040 in words is "forty-eight million, nine hundred forty-seven thousand, forty".