47837952 has 108 divisors (see below), whose sum is σ = 143223080. Its totient is φ = 15925248.

The previous prime is 47837947. The next prime is 47837957. The reversal of 47837952 is 25973874.

It is an interprime number because it is at equal distance from previous prime (47837947) and next prime (47837957).

It is a tau number, because it is divible by the number of its divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 47837898 and 47837907.

It is not an unprimeable number, because it can be changed into a prime (47837957) 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, 61824 + ... + 62592.

Almost surely, 2^47837952 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 47837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71611540).

47837952 is an abundant number, since it is smaller than the sum of its proper divisors (95385128).

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

47837952 is an frugal number, since it uses more digits than its factorization.

47837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 774 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 47837952 is about 6916.4985361091. The cubic root of 47837952 is about 363.0146841953.

The spelling of 47837952 in words is "forty-seven million, eight hundred thirty-seven thousand, nine hundred fifty-two".