47953152 has 108 divisors (see below), whose sum is σ = 148989204. Its totient is φ = 14745600.

The previous prime is 47953123. The next prime is 47953159. The reversal of 47953152 is 25135974.

47953152 is a `hidden beast` number, since 4 + 79 + 531 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 15872256 = 5664^2 + 3984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47953159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29152 + ... + 30752.

Almost surely, 2^47953152 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 47953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74494602).

47953152 is an abundant number, since it is smaller than the sum of its proper divisors (101036052).

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

47953152 is a wasteful number, since it uses less digits than its factorization.

47953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1619 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 47953152 is about 6924.8214417413. The cubic root of 47953152 is about 363.3058461002.

The spelling of 47953152 in words is "forty-seven million, nine hundred fifty-three thousand, one hundred fifty-two".