48075264 has 60 divisors (see below), whose sum is σ = 138761766. Its totient is φ = 16023552.

The previous prime is 48075257. The next prime is 48075299. The reversal of 48075264 is 46257084.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 9734400 = 6192^2 + 3120^2 .

It is a super-3 number, since 3×48075264³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 609 + ... + 9824.

Almost surely, 2^48075264 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 48075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69380883).

48075264 is an abundant number, since it is smaller than the sum of its proper divisors (90686502).

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

48075264 is a wasteful number, since it uses less digits than its factorization.

48075264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10457 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48075264 is about 6933.6328140449. The cubic root of 48075264 is about 363.6139690451.

The spelling of 48075264 in words is "forty-eight million, seventy-five thousand, two hundred sixty-four".