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7944 = 233331
BaseRepresentation
bin1111100001000
3101220020
41330020
5223234
6100440
732106
oct17410
911806
107944
115a72
124720
133801
142c76
152549
hex1f08

7944 has 16 divisors (see below), whose sum is σ = 19920. Its totient is φ = 2640.

The previous prime is 7937. The next prime is 7949. The reversal of 7944 is 4497.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 331 = 7944 / (7 + 9 + 4 + 4).

It is a d-powerful number, because it can be written as 73 + 42 + 94 + 45 .

Its product of digits (1008) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (7949) by changing a digit.

7944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1245).

7944 is the 48-th nonagonal number.

It is an amenable number.

7944 is an abundant number, since it is smaller than the sum of its proper divisors (11976).

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 (9960).

7944 is a wasteful number, since it uses less digits than its factorization.

7944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 7944 is about 89.1291198206. The cubic root of 7944 is about 19.9532240190.

The spelling of 7944 in words is "seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 331 662 993 1324 1986 2648 3972 7944