48773800 has 72 divisors (see below), whose sum is σ = 118800990. Its totient is φ = 18620800.

The previous prime is 48773771. The next prime is 48773839. The reversal of 48773800 is 837784.

It can be written as a sum of positive squares in 3 ways, for example, as 32012964 + 16760836 = 5658^2 + 4094^2 .

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 48773800.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105570 + ... + 106030.

Almost surely, 2^48773800 is an apocalyptic number.

48773800 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 48773800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59400495).

48773800 is an abundant number, since it is smaller than the sum of its proper divisors (70027190).

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

48773800 is a wasteful number, since it uses less digits than its factorization.

48773800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 48773800 is about 6983.8241673169. The cubic root of 48773800 is about 365.3666173108.

The spelling of 48773800 in words is "forty-eight million, seven hundred seventy-three thousand, eight hundred".