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84261441 = 3113122657
BaseRepresentation
bin1010000010110…
…11101001000001
312212112220222010
411001123221001
5133032331231
612210003133
72042132115
oct501335101
9185486863
1084261441
1143621960
12242764a9
13145c2c54
14b295745
1575e6546
hex505ba41

84261441 has 24 divisors (see below), whose sum is σ = 126690912. Its totient is φ = 49401600.

The previous prime is 84261413. The next prime is 84261487. The reversal of 84261441 is 14416248.

It is not a de Polignac number, because 84261441 - 29 = 84260929 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84261399 and 84261408.

It is not an unprimeable number, because it can be changed into a prime (84261241) 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 23 ways as a sum of consecutive naturals, for example, 30385 + ... + 33041.

It is an arithmetic number, because the mean of its divisors is an integer number (5278788).

Almost surely, 284261441 is an apocalyptic number.

It is an amenable number.

84261441 is a deficient number, since it is larger than the sum of its proper divisors (42429471).

84261441 is a wasteful number, since it uses less digits than its factorization.

84261441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2702 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 84261441 is about 9179.4030851684. The cubic root of 84261441 is about 438.4058028901.

Adding to 84261441 its reverse (14416248), we get a palindrome (98677689).

The spelling of 84261441 in words is "eighty-four million, two hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 3 11 31 33 93 341 961 1023 2657 2883 7971 10571 29227 31713 82367 87681 247101 906037 2553377 2718111 7660131 28087147 84261441