13882752 has 160 divisors (see below), whose sum is σ = 44924880. Its totient is φ = 4230144.

The previous prime is 13882741. The next prime is 13882763. The reversal of 13882752 is 25728831.

13882752 is a `hidden beast` number, since 1 + 388 + 275 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13882741) and next prime (13882763).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134733 + ... + 134835.

Almost surely, 2^13882752 is an apocalyptic number.

13882752 is a gapful number since it is divisible by the number (12) 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 13882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22462440).

13882752 is an abundant number, since it is smaller than the sum of its proper divisors (31042128).

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

13882752 is a wasteful number, since it uses less digits than its factorization.

13882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13882752 is about 3725.9565214855. The cubic root of 13882752 is about 240.3395194674.

The spelling of 13882752 in words is "thirteen million, eight hundred eighty-two thousand, seven hundred fifty-two".