47075952 has 160 divisors (see below), whose sum is σ = 155418624. Its totient is φ = 11923200.

The previous prime is 47075947. The next prime is 47075971. The reversal of 47075952 is 25957074.

It is a super-2 number, since 2×47075952² = 4432290513412608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47075952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173577 + ... + 173847.

Almost surely, 2^47075952 is an apocalyptic number.

47075952 is a gapful number since it is divisible by the number (42) 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 47075952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77709312).

47075952 is an abundant number, since it is smaller than the sum of its proper divisors (108342672).

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

47075952 is a wasteful number, since it uses less digits than its factorization.

47075952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 47075952 is about 6861.1917332195. The cubic root of 47075952 is about 361.0768988250.

The spelling of 47075952 in words is "forty-seven million, seventy-five thousand, nine hundred fifty-two".