47826944 has 72 divisors (see below), whose sum is σ = 105659190. Its totient is φ = 21626880.

The previous prime is 47826943. The next prime is 47826991. The reversal of 47826944 is 44962874.

It can be written as a sum of positive squares in only one way, i.e., 44729344 + 3097600 = 6688^2 + 1760^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 47826895 and 47826904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47826941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247712 + ... + 247904.

Almost surely, 2^47826944 is an apocalyptic number.

47826944 is a gapful number since it is divisible by the number (44) 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 47826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52829595).

47826944 is an abundant number, since it is smaller than the sum of its proper divisors (57832246).

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

47826944 is a wasteful number, since it uses less digits than its factorization.

47826944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The square root of 47826944 is about 6915.7027119448. The cubic root of 47826944 is about 362.9868376005.

The spelling of 47826944 in words is "forty-seven million, eight hundred twenty-six thousand, nine hundred forty-four".