52733952 has 72 divisors (see below), whose sum is σ = 152358570. Its totient is φ = 17571840.

The previous prime is 52733939. The next prime is 52733957. The reversal of 52733952 is 25933725.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 8856576 = 6624^2 + 2976^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (52733957) 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 5 ways as a sum of consecutive naturals, for example, 17002 + ... + 19862.

Almost surely, 2^52733952 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 52733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76179285).

52733952 is an abundant number, since it is smaller than the sum of its proper divisors (99624618).

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

52733952 is a wasteful number, since it uses less digits than its factorization.

52733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2866 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 52733952 is about 7261.8146492457. The cubic root of 52733952 is about 374.9989973307.

The spelling of 52733952 in words is "fifty-two million, seven hundred thirty-three thousand, nine hundred fifty-two".