48131820 has 240 divisors, whose sum is σ = 171487008. Its totient is φ = 11197440.

The previous prime is 48131819. The next prime is 48131833. The reversal of 48131820 is 2813184.

48131820 is a `hidden beast` number, since 481 + 3 + 182 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 659304 + ... + 659376.

Almost surely, 2^48131820 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 48131820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85743504).

48131820 is an abundant number, since it is smaller than the sum of its proper divisors (123355188).

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

48131820 is a wasteful number, since it uses less digits than its factorization.

48131820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48131820 is about 6937.7099968217. The cubic root of 48131820 is about 363.7564989805.

The spelling of 48131820 in words is "forty-eight million, one hundred thirty-one thousand, eight hundred twenty".