52815744 has 144 divisors (see below), whose sum is σ = 161665920. Its totient is φ = 16547328.

The previous prime is 52815743. The next prime is 52815767. The reversal of 52815744 is 44751825.

52815744 is a `hidden beast` number, since 5 + 2 + 81 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 52815699 and 52815708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52815743) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 415809 + ... + 415935.

It is an arithmetic number, because the mean of its divisors is an integer number (1122680).

Almost surely, 2^52815744 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 52815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832960).

52815744 is an abundant number, since it is smaller than the sum of its proper divisors (108850176).

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

52815744 is a wasteful number, since it uses less digits than its factorization.

52815744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 151 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 52815744 is about 7267.4441174322. Note that the first 3 decimals coincide. The cubic root of 52815744 is about 375.1927755499.

It can be divided in two parts, 5281 and 5744, that added together give a square (11025 = 105²).

The spelling of 52815744 in words is "fifty-two million, eight hundred fifteen thousand, seven hundred forty-four".