48739600 has 180 divisors, whose sum is σ = 146318016. Its totient is φ = 15275520.

The previous prime is 48739589. The next prime is 48739601. The reversal of 48739600 is 693784.

48739600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 48739600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48739601) 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 35 ways as a sum of consecutive naturals, for example, 473149 + ... + 473251.

Almost surely, 2^48739600 is an apocalyptic number.

48739600 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 48739600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73159008).

48739600 is an abundant number, since it is smaller than the sum of its proper divisors (97578416).

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

48739600 is a wasteful number, since it uses less digits than its factorization.

48739600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 48739600 is about 6981.3752226907. The cubic root of 48739600 is about 365.2811994563.

The spelling of 48739600 in words is "forty-eight million, seven hundred thirty-nine thousand, six hundred".