48812140 has 96 divisors (see below), whose sum is σ = 119528640. Its totient is φ = 16588800.

The previous prime is 48812131. The next prime is 48812147. The reversal of 48812140 is 4121884.

48812140 is a nontrivial binomial coefficient, being equal to C(9881, 2).

It is a super-2 number, since 2×48812140² = 4765250022759200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48812099 and 48812108.

It is not an unprimeable number, because it can be changed into a prime (48812147) 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, 202420 + ... + 202660.

It is an arithmetic number, because the mean of its divisors is an integer number (1245090).

Almost surely, 2^48812140 is an apocalyptic number.

48812140 is the 9880-th triangular number.

48812140 is the 3294-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48812140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59764320).

48812140 is an abundant number, since it is smaller than the sum of its proper divisors (70716500).

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

48812140 is a wasteful number, since it uses less digits than its factorization.

48812140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 48812140 is about 6986.5685425679. The cubic root of 48812140 is about 365.4623277620.

It can be divided in two parts, 4881 and 2140, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 48812140 in words is "forty-eight million, eight hundred twelve thousand, one hundred forty".