53149824 has 256 divisors, whose sum is σ = 194208000. Its totient is φ = 14017536.

The previous prime is 53149813. The next prime is 53149829. The reversal of 53149824 is 42894135.

53149824 is a `hidden beast` number, since 531 + 49 + 82 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53149829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4088442 + ... + 4088454.

It is an arithmetic number, because the mean of its divisors is an integer number (758625).

Almost surely, 2^53149824 is an apocalyptic number.

53149824 is a gapful number since it is divisible by the number (54) 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 53149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97104000).

53149824 is an abundant number, since it is smaller than the sum of its proper divisors (141058176).

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

53149824 is an equidigital number, since it uses as much as digits as its factorization.

53149824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 53149824 is about 7290.3925820219. The cubic root of 53149824 is about 375.9821932113.

The spelling of 53149824 in words is "fifty-three million, one hundred forty-nine thousand, eight hundred twenty-four".