48945624 has 128 divisors (see below), whose sum is σ = 153162240. Its totient is φ = 12690432.

The previous prime is 48945613. The next prime is 48945629. The reversal of 48945624 is 42654984.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48945629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159279 + ... + 159585.

It is an arithmetic number, because the mean of its divisors is an integer number (1196580).

Almost surely, 2^48945624 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 48945624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76581120).

48945624 is an abundant number, since it is smaller than the sum of its proper divisors (104216616).

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

48945624 is a wasteful number, since it uses less digits than its factorization.

48945624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 48945624 is about 6996.1149218691. The cubic root of 48945624 is about 365.7951614406.

The spelling of 48945624 in words is "forty-eight million, nine hundred forty-five thousand, six hundred twenty-four".