48045264 has 80 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 14893056.

The previous prime is 48045259. The next prime is 48045269. The reversal of 48045264 is 46254084.

48045264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48045259) and next prime (48045269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48045269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78849 + ... + 79455.

Almost surely, 2^48045264 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 48045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

48045264 is an abundant number, since it is smaller than the sum of its proper divisors (84946224).

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

48045264 is a wasteful number, since it uses less digits than its factorization.

48045264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 48045264 is about 6931.4691083493. The cubic root of 48045264 is about 363.5383189915.

The spelling of 48045264 in words is "forty-eight million, forty-five thousand, two hundred sixty-four".