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40944 = 243853
BaseRepresentation
bin1001111111110000
32002011110
421333300
52302234
6513320
7230241
oct117760
962143
1040944
1128842
121b840
1315837
1410cc8
15c1e9
hex9ff0

40944 has 20 divisors (see below), whose sum is σ = 105896. Its totient is φ = 13632.

The previous prime is 40939. The next prime is 40949. The reversal of 40944 is 44904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40939) and next prime (40949).

It is a super-2 number, since 2×409442 = 3352822272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40949) by changing a digit.

40944 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, 379 + ... + 474.

240944 is an apocalyptic number.

It is an amenable number.

40944 is an abundant number, since it is smaller than the sum of its proper divisors (64952).

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 (52948).

40944 is a wasteful number, since it uses less digits than its factorization.

40944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40944 is about 202.3462379191. The cubic root of 40944 is about 34.4664660504.

The spelling of 40944 in words is "forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 853 1706 2559 3412 5118 6824 10236 13648 20472 40944