47835144 has 128 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 12856320.

The previous prime is 47835107. The next prime is 47835167. The reversal of 47835144 is 44153874.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 47835099 and 47835108.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24774 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^47835144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47835144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

47835144 is an abundant number, since it is smaller than the sum of its proper divisors (113041656).

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

47835144 is a wasteful number, since it uses less digits than its factorization.

47835144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 47835144 is about 6916.2955402441. The cubic root of 47835144 is about 363.0075812910.

The spelling of 47835144 in words is "forty-seven million, eight hundred thirty-five thousand, one hundred forty-four".