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444004869 = 37117092711
BaseRepresentation
bin11010011101101…
…111101000000101
31010221110210011210
4122131233220011
51402131123434
6112020322033
714000656560
oct3235575005
91127423153
10444004869
112086a1480
12104843319
1370caac99
1442d7b4d7
1528ea6ee9
hex1a76fa05

444004869 has 32 divisors (see below), whose sum is σ = 739399680. Its totient is φ = 230241600.

The previous prime is 444004853. The next prime is 444004871. The reversal of 444004869 is 968400444.

It is not a de Polignac number, because 444004869 - 24 = 444004853 is a prime.

It is a super-2 number, since 2×4440048692 = 394280647391414322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444004829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162424 + ... + 165134.

It is an arithmetic number, because the mean of its divisors is an integer number (23106240).

Almost surely, 2444004869 is an apocalyptic number.

It is an amenable number.

444004869 is a deficient number, since it is larger than the sum of its proper divisors (295394811).

444004869 is a wasteful number, since it uses less digits than its factorization.

444004869 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441.

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 444004869 is about 21071.4230416458. The cubic root of 444004869 is about 762.8911512414.

The spelling of 444004869 in words is "four hundred forty-four million, four thousand, eight hundred sixty-nine".

Divisors: 1 3 7 11 21 33 77 231 709 2127 2711 4963 7799 8133 14889 18977 23397 29821 54593 56931 89463 163779 208747 626241 1922099 5766297 13454693 21143089 40364079 63429267 148001623 444004869