47643552 has 144 divisors (see below), whose sum is σ = 153552672. Its totient is φ = 14411520.

The previous prime is 47643539. The next prime is 47643601. The reversal of 47643552 is 25534674.

47643552 is a `hidden beast` number, since 4 + 7 + 643 + 5 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85258 + ... + 85814.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^47643552 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 47643552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

47643552 is an abundant number, since it is smaller than the sum of its proper divisors (105909120).

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

47643552 is a wasteful number, since it uses less digits than its factorization.

47643552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 47643552 is about 6902.4308761479. The cubic root of 47643552 is about 362.5222866995.

The spelling of 47643552 in words is "forty-seven million, six hundred forty-three thousand, five hundred fifty-two".