15213952 has 64 divisors (see below), whose sum is σ = 33586560. Its totient is φ = 6819840.

The previous prime is 15213941. The next prime is 15213953. The reversal of 15213952 is 25931251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 15213952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15213953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68113 + ... + 68335.

It is an arithmetic number, because the mean of its divisors is an integer number (524790).

Almost surely, 2^15213952 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 15213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793280).

15213952 is an abundant number, since it is smaller than the sum of its proper divisors (18372608).

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

15213952 is a wasteful number, since it uses less digits than its factorization.

15213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The square root of 15213952 is about 3900.5066337593. The cubic root of 15213952 is about 247.7882340713.

The spelling of 15213952 in words is "fifteen million, two hundred thirteen thousand, nine hundred fifty-two".