47101968 has 120 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 14515200.

The previous prime is 47101963. The next prime is 47101973. The reversal of 47101968 is 86910174.

It is an interprime number because it is at equal distance from previous prime (47101963) and next prime (47101973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47101961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173673 + ... + 173943.

Almost surely, 2^47101968 is an apocalyptic number.

47101968 is a gapful number since it is divisible by the number (48) 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 47101968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

47101968 is an abundant number, since it is smaller than the sum of its proper divisors (94960368).

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

47101968 is a wasteful number, since it uses less digits than its factorization.

47101968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 47101968 is about 6863.0873519139. The cubic root of 47101968 is about 361.1434016166.

The spelling of 47101968 in words is "forty-seven million, one hundred one thousand, nine hundred sixty-eight".