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47944 = 2313461
BaseRepresentation
bin1011101101001000
32102202201
423231020
53013234
61005544
7256531
oct135510
972681
1047944
1133026
12238b4
1318a90
1413688
15e314
hexbb48

47944 has 16 divisors (see below), whose sum is σ = 97020. Its totient is φ = 22080.

The previous prime is 47939. The next prime is 47947. The reversal of 47944 is 44974.

47944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 3844 = 210^2 + 62^2 .

It is a d-powerful number, because it can be written as 46 + 75 + 94 + 46 + 47 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (47947) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 334.

247944 is an apocalyptic number.

It is an amenable number.

47944 is an abundant number, since it is smaller than the sum of its proper divisors (49076).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48510).

47944 is a wasteful number, since it uses less digits than its factorization.

47944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 47944 is about 218.9611837747. The cubic root of 47944 is about 36.3282731967.

The spelling of 47944 in words is "forty-seven thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 461 922 1844 3688 5993 11986 23972 47944