47852532 has 144 divisors (see below), whose sum is σ = 154673792. Its totient is φ = 12597120.

The previous prime is 47852531. The next prime is 47852611. The reversal of 47852532 is 23525874.

47852532 is a `hidden beast` number, since 4 + 78 + 52 + 532 = 666.

It is a super-2 number, since 2×47852532² = 4579729637622048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47852531) 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, 88182 + ... + 88722.

Almost surely, 2^47852532 is an apocalyptic number.

47852532 is a gapful number since it is divisible by the number (42) 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 47852532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77336896).

47852532 is an abundant number, since it is smaller than the sum of its proper divisors (106821260).

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

47852532 is a wasteful number, since it uses less digits than its factorization.

47852532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 47852532 is about 6917.5524573363. The cubic root of 47852532 is about 363.0515601920.

It can be divided in two parts, 47852 and 532, that added together give a palindrome (48384).

The spelling of 47852532 in words is "forty-seven million, eight hundred fifty-two thousand, five hundred thirty-two".