52149216 has 96 divisors (see below), whose sum is σ = 158796288. Its totient is φ = 14676480.

The previous prime is 52149199. The next prime is 52149241. The reversal of 52149216 is 61294125.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47166 + ... + 48258.

It is an arithmetic number, because the mean of its divisors is an integer number (1654128).

Almost surely, 2^52149216 is an apocalyptic number.

52149216 is a gapful number since it is divisible by the number (56) 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 52149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79398144).

52149216 is an abundant number, since it is smaller than the sum of its proper divisors (106647072).

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

52149216 is a wasteful number, since it uses less digits than its factorization.

52149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 52149216 is about 7221.4414073646. The cubic root of 52149216 is about 373.6077942088.

The spelling of 52149216 in words is "fifty-two million, one hundred forty-nine thousand, two hundred sixteen".