47553352 has 128 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 16450560.

The previous prime is 47553347. The next prime is 47553353. The reversal of 47553352 is 25335574.

47553352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47553352² = 4522642572871808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (47553353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198849 + ... + 199087.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^47553352 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 47553352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

47553352 is an abundant number, since it is smaller than the sum of its proper divisors (76862648).

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

47553352 is a wasteful number, since it uses less digits than its factorization.

47553352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its digits is 63000, while the sum is 34.

The square root of 47553352 is about 6895.8938506911. The cubic root of 47553352 is about 362.2933633268.

47553352 divided by its sum of digits (34) gives a triangular number (1398628 = T₁₆₇₂).

The spelling of 47553352 in words is "forty-seven million, five hundred fifty-three thousand, three hundred fifty-two".