47425632 has 96 divisors (see below), whose sum is σ = 132959232. Its totient is φ = 14767104.

The previous prime is 47425613. The next prime is 47425663. The reversal of 47425632 is 23652474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 47425593 and 47425602.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 103548 + ... + 104004.

It is an arithmetic number, because the mean of its divisors is an integer number (1384992).

Almost surely, 2^47425632 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 47425632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66479616).

47425632 is an abundant number, since it is smaller than the sum of its proper divisors (85533600).

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

47425632 is a wasteful number, since it uses less digits than its factorization.

47425632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 47425632 is about 6886.6270408670. The cubic root of 47425632 is about 361.9687202707.

It can be divided in two parts, 474 and 25632, that added together give a triangular number (26106 = T₂₂₈).

The spelling of 47425632 in words is "forty-seven million, four hundred twenty-five thousand, six hundred thirty-two".