47552320 has 56 divisors (see below), whose sum is σ = 113998248. Its totient is φ = 18892800.

The previous prime is 47552311. The next prime is 47552347. The reversal of 47552320 is 2325574.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 46676224 = 936^2 + 6832^2 .

It is a super-2 number, since 2×47552320² = 4522446274764800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57510 + ... + 58330.

It is an arithmetic number, because the mean of its divisors is an integer number (2035683).

Almost surely, 2^47552320 is an apocalyptic number.

47552320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56999124).

47552320 is an abundant number, since it is smaller than the sum of its proper divisors (66445928).

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

47552320 is a wasteful number, since it uses less digits than its factorization.

47552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 47552320 is about 6895.8190231473. The cubic root of 47552320 is about 362.2907424848.

Adding to 47552320 its reverse (2325574), we get a palindrome (49877894).

The spelling of 47552320 in words is "forty-seven million, five hundred fifty-two thousand, three hundred twenty".