53149248 has 84 divisors (see below), whose sum is σ = 155306268. Its totient is φ = 17372160.

The previous prime is 53149241. The next prime is 53149249. The reversal of 53149248 is 84294135.

53149248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 39841344 = 3648^2 + 6312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53149241) 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 11 ways as a sum of consecutive naturals, for example, 29658 + ... + 31398.

Almost surely, 2^53149248 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 53149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77653134).

53149248 is an abundant number, since it is smaller than the sum of its proper divisors (102157020).

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

53149248 is a wasteful number, since it uses less digits than its factorization.

53149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1799 counting only the distinct ones).

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

The square root of 53149248 is about 7290.3530778694. The cubic root of 53149248 is about 375.9808349972.

The spelling of 53149248 in words is "fifty-three million, one hundred forty-nine thousand, two hundred forty-eight".