47242944 has 84 divisors (see below), whose sum is σ = 154771344. Its totient is φ = 13496832.

The previous prime is 47242931. The next prime is 47242957. The reversal of 47242944 is 44924274.

It is an interprime number because it is at equal distance from previous prime (47242931) and next prime (47242957).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 47242899 and 47242908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1827 + ... + 9890.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^47242944 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 47242944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385672).

47242944 is an abundant number, since it is smaller than the sum of its proper divisors (107528400).

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

47242944 is a wasteful number, since it uses less digits than its factorization.

47242944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742 (or 11729 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47242944 is about 6873.3502747932. The cubic root of 47242944 is about 361.5033430015.

The spelling of 47242944 in words is "forty-seven million, two hundred forty-two thousand, nine hundred forty-four".