47138592 has 96 divisors (see below), whose sum is σ = 132838272. Its totient is φ = 14598144.

The previous prime is 47138591. The next prime is 47138617. The reversal of 47138592 is 29583174.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47138592.

It is not an unprimeable number, because it can be changed into a prime (47138591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81408 + ... + 81984.

It is an arithmetic number, because the mean of its divisors is an integer number (1383732).

Almost surely, 2^47138592 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 47138592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66419136).

47138592 is an abundant number, since it is smaller than the sum of its proper divisors (85699680).

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

47138592 is a wasteful number, since it uses less digits than its factorization.

47138592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 47138592 is about 6865.7550203892. The cubic root of 47138592 is about 361.2369793721.

The spelling of 47138592 in words is "forty-seven million, one hundred thirty-eight thousand, five hundred ninety-two".