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44279440 = 2452292417
BaseRepresentation
bin1010100011101…
…0011010010000
310002022121222021
42220322122100
542313420230
64221021224
71045240402
oct250723220
9102277867
1044279440
1122aa3887
12129b4814
13923466a
145c48b72
153d49c7a
hex2a3a690

44279440 has 40 divisors (see below), whose sum is σ = 103442040. Its totient is φ = 17627136.

The previous prime is 44279413. The next prime is 44279447. The reversal of 44279440 is 4497244.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 17405584 = 5184^2 + 4172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44279396 and 44279405.

It is not an unprimeable number, because it can be changed into a prime (44279447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17112 + ... + 19528.

It is an arithmetic number, because the mean of its divisors is an integer number (2586051).

Almost surely, 244279440 is an apocalyptic number.

44279440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44279440 is an abundant number, since it is smaller than the sum of its proper divisors (59162600).

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

44279440 is a wasteful number, since it uses less digits than its factorization.

44279440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 44279440 is about 6654.2798257963. The cubic root of 44279440 is about 353.7806209889.

The spelling of 44279440 in words is "forty-four million, two hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 2417 3664 4580 4834 9160 9668 12085 18320 19336 24170 38672 48340 96680 193360 553493 1106986 2213972 2767465 4427944 5534930 8855888 11069860 22139720 44279440