47964042 has 48 divisors (see below), whose sum is σ = 123995520. Its totient is φ = 13703256.

The previous prime is 47964041. The next prime is 47964043. The reversal of 47964042 is 24046974.

47964042 is a `hidden beast` number, since 4 + 7 + 9 + 640 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (47964041) and next prime (47964043).

It is a super-3 number, since 3×47964042³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47963988 and 47964006.

It is not an unprimeable number, because it can be changed into a prime (47964041) 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 23 ways as a sum of consecutive naturals, for example, 6418 + ... + 11709.

It is an arithmetic number, because the mean of its divisors is an integer number (2583240).

Almost surely, 2^47964042 is an apocalyptic number.

47964042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

47964042 is an abundant number, since it is smaller than the sum of its proper divisors (76031478).

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

47964042 is a wasteful number, since it uses less digits than its factorization.

47964042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18152 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47964042 is about 6925.6076989677. The cubic root of 47964042 is about 363.3333458650. Note that the first 4 decimals are identical.

The spelling of 47964042 in words is "forty-seven million, nine hundred sixty-four thousand, forty-two".