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44040040 = 23511101991
BaseRepresentation
bin1010011111111…
…1111101101000
310001212110120121
42213333331220
542233240130
64211533024
71043222422
oct247777550
9101773517
1044040040
112294aa30
12128ba174
13917c6c5
145bc5812
153cedd7a
hex29fff68

44040040 has 64 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 15840000.

The previous prime is 44040001. The next prime is 44040077. The reversal of 44040040 is 4004044.

It is a junction number, because it is equal to n+sod(n) for n = 44039996 and 44040023.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43945 + ... + 44935.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480).

Almost surely, 244040040 is an apocalyptic number.

44040040 is a gapful number since it is divisible by the number (40) 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 44040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

44040040 is an abundant number, since it is smaller than the sum of its proper divisors (65238680).

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

44040040 is a wasteful number, since it uses less digits than its factorization.

44040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 44040040 is about 6636.2670229580. The cubic root of 44040040 is about 353.1418882987.

Adding to 44040040 its reverse (4004044), we get a palindrome (48044084).

The spelling of 44040040 in words is "forty-four million, forty thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 991 1010 1111 1982 2020 2222 3964 4040 4444 4955 5555 7928 8888 9910 10901 11110 19820 21802 22220 39640 43604 44440 54505 87208 100091 109010 200182 218020 400364 436040 500455 800728 1000910 1101001 2001820 2202002 4003640 4404004 5505005 8808008 11010010 22020020 44040040