48041600 has 48 divisors (see below), whose sum is σ = 118685670. Its totient is φ = 19215360.

The previous prime is 48041593. The next prime is 48041647. The reversal of 48041600 is 614084.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 40246336 + 7795264 = 6344^2 + 2792^2 .

It is a zygodrome in base 7.

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 5 ways as a sum of consecutive naturals, for example, 4307 + ... + 10706.

Almost surely, 2^48041600 is an apocalyptic number.

48041600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48041600 is an abundant number, since it is smaller than the sum of its proper divisors (70644070).

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

48041600 is a wasteful number, since it uses less digits than its factorization.

48041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15037 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 48041600 is about 6931.2048014757. The cubic root of 48041600 is about 363.5290774406.

Adding to 48041600 its reverse (614084), we get a palindrome (48655684).

The spelling of 48041600 in words is "forty-eight million, forty-one thousand, six hundred".