15253952 has 56 divisors (see below), whose sum is σ = 35112960. Its totient is φ = 6439680.

The previous prime is 15253951. The next prime is 15253961. The reversal of 15253952 is 25935251.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15253951) 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, 35177 + ... + 35607.

Almost surely, 2^15253952 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 15253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

15253952 is an abundant number, since it is smaller than the sum of its proper divisors (19859008).

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

15253952 is an equidigital number, since it uses as much as digits as its factorization.

15253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its digits is 13500, while the sum is 32.

The square root of 15253952 is about 3905.6308069248. The cubic root of 15253952 is about 248.0052028045.

The spelling of 15253952 in words is "fifteen million, two hundred fifty-three thousand, nine hundred fifty-two".