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84444516 = 223213180437
BaseRepresentation
bin1010000100010…
…00010101100100
312212220020002200
411002020111210
5133104211031
612213534500
72043523632
oct502102544
9185806080
1084444516
1143737462
1224344430
1314658390
14b302352
1576308e6
hex5088564

84444516 has 36 divisors (see below), whose sum is σ = 229878012. Its totient is φ = 25982784.

The previous prime is 84444497. The next prime is 84444551. The reversal of 84444516 is 61544448.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25462116 + 58982400 = 5046^2 + 7680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89751 + ... + 90686.

Almost surely, 284444516 is an apocalyptic number.

It is an amenable number.

84444516 is an abundant number, since it is smaller than the sum of its proper divisors (145433496).

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

84444516 is a wasteful number, since it uses less digits than its factorization.

84444516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180460 (or 180455 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 84444516 is about 9189.3697281152. The cubic root of 84444516 is about 438.7230816027.

The spelling of 84444516 in words is "eighty-four million, four hundred forty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 180437 360874 541311 721748 1082622 1623933 2165244 2345681 3247866 4691362 6495732 7037043 9382724 14074086 21111129 28148172 42222258 84444516