52149888 has 192 divisors, whose sum is σ = 178214400. Its totient is φ = 14321664.

The previous prime is 52149887. The next prime is 52149893. The reversal of 52149888 is 88894125.

It is a happy number.

52149888 is a `hidden beast` number, since 521 + 49 + 8 + 88 = 666.

52149888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×52149888² = 5439221636825088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (52149887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233745 + ... + 233967.

It is an arithmetic number, because the mean of its divisors is an integer number (928200).

Almost surely, 2^52149888 is an apocalyptic number.

52149888 is a gapful number since it is divisible by the number (58) 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 52149888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

52149888 is an abundant number, since it is smaller than the sum of its proper divisors (126064512).

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

52149888 is a wasteful number, since it uses less digits than its factorization.

52149888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 52149888 is about 7221.4879353219. The cubic root of 52149888 is about 373.6093989843.

The spelling of 52149888 in words is "fifty-two million, one hundred forty-nine thousand, eight hundred eighty-eight".