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444149735 = 51716332057
BaseRepresentation
bin11010011110010…
…010111111100111
31010221202010220012
4122132102333213
51402200242420
6112023400435
714002132121
oct3236227747
91127663805
10444149735
112087902a7
121048b311b
137102bbc3
1442db8211
1528ed4dc5
hex1a792fe7

444149735 has 16 divisors (see below), whose sum is σ = 567811296. Its totient is φ = 332356608.

The previous prime is 444149689. The next prime is 444149743. The reversal of 444149735 is 537941444.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444149735 is a prime.

It is a super-3 number, since 3×4441497353 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444149692 and 444149701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174 + ... + 29883.

It is an arithmetic number, because the mean of its divisors is an integer number (35488206).

Almost surely, 2444149735 is an apocalyptic number.

444149735 is a deficient number, since it is larger than the sum of its proper divisors (123661561).

444149735 is a wasteful number, since it uses less digits than its factorization.

444149735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32242.

The product of its digits is 241920, while the sum is 41.

The square root of 444149735 is about 21074.8602605094. The cubic root of 444149735 is about 762.9741120224.

The spelling of 444149735 in words is "four hundred forty-four million, one hundred forty-nine thousand, seven hundred thirty-five".

Divisors: 1 5 17 85 163 815 2771 13855 32057 160285 544969 2724845 5225291 26126455 88829947 444149735