48693312 has 168 divisors, whose sum is σ = 150888192. Its totient is φ = 15552000.

The previous prime is 48693301. The next prime is 48693317. The reversal of 48693312 is 21339684.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48693317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482062 + ... + 482162.

It is an arithmetic number, because the mean of its divisors is an integer number (898144).

Almost surely, 2^48693312 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 48693312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75444096).

48693312 is an abundant number, since it is smaller than the sum of its proper divisors (102194880).

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

48693312 is a wasteful number, since it uses less digits than its factorization.

48693312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 48693312 is about 6978.0593290685. The cubic root of 48693312 is about 365.1655269741.

The spelling of 48693312 in words is "forty-eight million, six hundred ninety-three thousand, three hundred twelve".