52007488 has 56 divisors (see below), whose sum is σ = 117710712. Its totient is φ = 22585344.

The previous prime is 52007479. The next prime is 52007489. The reversal of 52007488 is 88470025.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 39841344 = 3488^2 + 6312^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (52007489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12306 + ... + 15982.

It is an arithmetic number, because the mean of its divisors is an integer number (2101977).

Almost surely, 2^52007488 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 52007488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58855356).

52007488 is an abundant number, since it is smaller than the sum of its proper divisors (65703224).

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

52007488 is a wasteful number, since it uses less digits than its factorization.

52007488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 52007488 is about 7211.6217316218. The cubic root of 52007488 is about 373.2690308754.

It can be divided in two parts, 5200 and 7488, that multiplied together give a square (38937600 = 6240²).

The spelling of 52007488 in words is "fifty-two million, seven thousand, four hundred eighty-eight".