47567952 has 80 divisors (see below), whose sum is σ = 137640000. Its totient is φ = 15728256.

The previous prime is 47567951. The next prime is 47567953. The reversal of 47567952 is 25976574.

It is an interprime number because it is at equal distance from previous prime (47567951) and next prime (47567953).

It is a junction number, because it is equal to n+sod(n) for n = 47567898 and 47567907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47567951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63999 + ... + 64737.

It is an arithmetic number, because the mean of its divisors is an integer number (1720500).

Almost surely, 2^47567952 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 47567952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68820000).

47567952 is an abundant number, since it is smaller than the sum of its proper divisors (90072048).

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

47567952 is a wasteful number, since it uses less digits than its factorization.

47567952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 47567952 is about 6896.9523704315. The cubic root of 47567952 is about 362.3304370670.

The spelling of 47567952 in words is "forty-seven million, five hundred sixty-seven thousand, nine hundred fifty-two".