47733552 has 180 divisors, whose sum is σ = 150444736. Its totient is φ = 14100480.

The previous prime is 47733551. The next prime is 47733563. The reversal of 47733552 is 25533774.

47733552 is a `hidden beast` number, since 4 + 77 + 33 + 552 = 666.

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

Its product of digits (88200) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (47733551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1290078 + ... + 1290114.

Almost surely, 2^47733552 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 47733552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75222368).

47733552 is an abundant number, since it is smaller than the sum of its proper divisors (102711184).

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

47733552 is a wasteful number, since it uses less digits than its factorization.

47733552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 47733552 is about 6908.9472425254. The cubic root of 47733552 is about 362.7504146870.

The spelling of 47733552 in words is "forty-seven million, seven hundred thirty-three thousand, five hundred fifty-two".