47541312 has 168 divisors, whose sum is σ = 167900096. Its totient is φ = 12524544.

The previous prime is 47541311. The next prime is 47541313. The reversal of 47541312 is 21314574.

It is an interprime number because it is at equal distance from previous prime (47541311) and next prime (47541313).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (47541311) 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, 51963 + ... + 52869.

Almost surely, 2^47541312 is an apocalyptic number.

47541312 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 47541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83950048).

47541312 is an abundant number, since it is smaller than the sum of its proper divisors (120358784).

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

47541312 is a wasteful number, since it uses less digits than its factorization.

47541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 47541312 is about 6895.0208121513. The cubic root of 47541312 is about 362.2627844779.

Adding to 47541312 its reverse (21314574), we get a palindrome (68855886).

The spelling of 47541312 in words is "forty-seven million, five hundred forty-one thousand, three hundred twelve".