47968050 has 96 divisors (see below), whose sum is σ = 135741312. Its totient is φ = 11105280.

The previous prime is 47968043. The next prime is 47968057. The reversal of 47968050 is 5086974.

It is an interprime number because it is at equal distance from previous prime (47968043) and next prime (47968057).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (47968057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32427 + ... + 33873.

It is an arithmetic number, because the mean of its divisors is an integer number (1413972).

Almost surely, 2^47968050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47968050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67870656).

47968050 is an abundant number, since it is smaller than the sum of its proper divisors (87773262).

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

47968050 is a wasteful number, since it uses less digits than its factorization.

47968050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 47968050 is about 6925.8970538119. The cubic root of 47968050 is about 363.3434659427.

The spelling of 47968050 in words is "forty-seven million, nine hundred sixty-eight thousand, fifty".