53538732 has 144 divisors (see below), whose sum is σ = 159810560. Its totient is φ = 15536448.

The previous prime is 53538707. The next prime is 53538739. The reversal of 53538732 is 23783535.

53538732 is a `hidden beast` number, since 53 + 538 + 73 + 2 = 666.

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 (53538739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239973 + ... + 240195.

Almost surely, 2^53538732 is an apocalyptic number.

53538732 is a gapful number since it is divisible by the number (52) 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 53538732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79905280).

53538732 is an abundant number, since it is smaller than the sum of its proper divisors (106271828).

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

53538732 is a wasteful number, since it uses less digits than its factorization.

53538732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 53538732 is about 7317.0166051472. The cubic root of 53538732 is about 376.8970114121.

The spelling of 53538732 in words is "fifty-three million, five hundred thirty-eight thousand, seven hundred thirty-two".