47632950 has 72 divisors (see below), whose sum is σ = 129005136. Its totient is φ = 12600000.

The previous prime is 47632903. The next prime is 47632951. The reversal of 47632950 is 5923674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47632951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67600 + ... + 68300.

It is an arithmetic number, because the mean of its divisors is an integer number (1791738).

Almost surely, 2^47632950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47632950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64502568).

47632950 is an abundant number, since it is smaller than the sum of its proper divisors (81372186).

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

47632950 is a wasteful number, since it uses less digits than its factorization.

47632950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 47632950 is about 6901.6628431125. The cubic root of 47632950 is about 362.4953943133.

The spelling of 47632950 in words is "forty-seven million, six hundred thirty-two thousand, nine hundred fifty".