47535840 has 144 divisors (see below), whose sum is σ = 177021936. Its totient is φ = 11520000.

The previous prime is 47535827. The next prime is 47535863. The reversal of 47535840 is 4853574.

47535840 is a `hidden beast` number, since 4 + 75 + 3 + 584 + 0 = 666.

47535840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 47535795 and 47535804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14340 + ... + 17340.

It is an arithmetic number, because the mean of its divisors is an integer number (1229319).

Almost surely, 2^47535840 is an apocalyptic number.

47535840 is a gapful number since it is divisible by the number (40) 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 47535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88510968).

47535840 is an abundant number, since it is smaller than the sum of its proper divisors (129486096).

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

47535840 is a wasteful number, since it uses less digits than its factorization.

47535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 47535840 is about 6894.6239926482. The cubic root of 47535840 is about 362.2488851419.

It can be divided in two parts, 475 and 35840, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 47535840 in words is "forty-seven million, five hundred thirty-five thousand, eight hundred forty".