47783232 has 126 divisors (see below), whose sum is σ = 159417258. Its totient is φ = 13644288.

The previous prime is 47783227. The next prime is 47783237. The reversal of 47783232 is 23238774.

It is an interprime number because it is at equal distance from previous prime (47783227) and next prime (47783237).

It can be written as a sum of positive squares in only one way, i.e., 38638656 + 9144576 = 6216^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47783237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27378 + ... + 29070.

Almost surely, 2^47783232 is an apocalyptic number.

47783232 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 47783232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79708629).

47783232 is an abundant number, since it is smaller than the sum of its proper divisors (111634026).

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

47783232 is a wasteful number, since it uses less digits than its factorization.

47783232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1705 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 47783232 is about 6912.5416454442. The cubic root of 47783232 is about 362.8762185248.

The spelling of 47783232 in words is "forty-seven million, seven hundred eighty-three thousand, two hundred thirty-two".