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44040 = 2335367
BaseRepresentation
bin1010110000001000
32020102010
422300020
52402130
6535520
7242253
oct126010
966363
1044040
11300a7
12215a0
1317079
141209a
15d0b0
hexac08

44040 has 32 divisors (see below), whose sum is σ = 132480. Its totient is φ = 11712.

The previous prime is 44029. The next prime is 44041. The reversal of 44040 is 4044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44041) by changing a digit.

44040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (4140).

244040 is an apocalyptic number.

44040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44040 is an abundant number, since it is smaller than the sum of its proper divisors (88440).

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 (66240).

44040 is a wasteful number, since it uses less digits than its factorization.

44040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 44040 is about 209.8570942332. The cubic root of 44040 is about 35.3141781383.

Adding to 44040 its reverse (4044), we get a palindrome (48084).

The spelling of 44040 in words is "forty-four thousand, forty", and thus it is an eban number and an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 11010 14680 22020 44040