48149712 has 180 divisors, whose sum is σ = 155888460. Its totient is φ = 13787136.

The previous prime is 48149701. The next prime is 48149753. The reversal of 48149712 is 21794184.

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 47941776 = 456^2 + 6924^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 540964 + ... + 541052.

It is an arithmetic number, because the mean of its divisors is an integer number (866047).

Almost surely, 2^48149712 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 48149712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77944230).

48149712 is an abundant number, since it is smaller than the sum of its proper divisors (107738748).

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

48149712 is a wasteful number, since it uses less digits than its factorization.

48149712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 48149712 is about 6938.9993514915. Note that the first 3 decimals coincide. The cubic root of 48149712 is about 363.8015663600.

The spelling of 48149712 in words is "forty-eight million, one hundred forty-nine thousand, seven hundred twelve".