48361040 has 180 divisors, whose sum is σ = 143572284. Its totient is φ = 15095808.

The previous prime is 48361037. The next prime is 48361057. The reversal of 48361040 is 4016384.

48361040 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 6 ways, for example, as 8317456 + 40043584 = 2884^2 + 6328^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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 35 ways as a sum of consecutive naturals, for example, 662444 + ... + 662516.

Almost surely, 2^48361040 is an apocalyptic number.

48361040 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 48361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71786142).

48361040 is an abundant number, since it is smaller than the sum of its proper divisors (95211244).

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

48361040 is a wasteful number, since it uses less digits than its factorization.

48361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 48361040 is about 6954.2102355336. The cubic root of 48361040 is about 364.3330285481. Note that the first 3 decimals are identical.

The spelling of 48361040 in words is "forty-eight million, three hundred sixty-one thousand, forty".