15048264 has 128 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 3671040.

The previous prime is 15048259. The next prime is 15048269. The reversal of 15048264 is 46284051.

15048264 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 (15048259) and next prime (15048269).

It is not an unprimeable number, because it can be changed into a prime (15048269) 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, 31177 + ... + 31655.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 2^15048264 is an apocalyptic number.

15048264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15048264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

15048264 is an abundant number, since it is smaller than the sum of its proper divisors (34718136).

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

15048264 is a wasteful number, since it uses less digits than its factorization.

15048264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 15048264 is about 3879.2091977618. The cubic root of 15048264 is about 246.8854337095.

The spelling of 15048264 in words is "fifteen million, forty-eight thousand, two hundred sixty-four".