48191040 has 168 divisors, whose sum is σ = 171770040. Its totient is φ = 12386304.

The previous prime is 48191029. The next prime is 48191041. The reversal of 48191040 is 4019184.

48191040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 28901376 = 4392^2 + 5376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48190995 and 48191013.

It is not an unprimeable number, because it can be changed into a prime (48191041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83232 + ... + 83808.

Almost surely, 2^48191040 is an apocalyptic number.

48191040 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 48191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85885020).

48191040 is an abundant number, since it is smaller than the sum of its proper divisors (123579000).

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

48191040 is a wasteful number, since it uses less digits than its factorization.

48191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 48191040 is about 6941.9766637464. The cubic root of 48191040 is about 363.9056229984.

It can be divided in two parts, 4 and 8191040, that added together give a square (8191044 = 2862²).

The spelling of 48191040 in words is "forty-eight million, one hundred ninety-one thousand, forty".