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986085629 = 1724183221
BaseRepresentation
bin111010110001100…
…111100011111101
32112201111100011222
4322301213203331
54004414220004
6241503123125
733302406134
oct7261474375
92481440158
10986085629
1146668a801
122362a34a5
131293a7a29
1494d6891b
155b8837be
hex3ac678fd

986085629 has 12 divisors (see below), whose sum is σ = 1073064468. Its totient is φ = 905433600.

The previous prime is 986085623. The next prime is 986085649. The reversal of 986085629 is 926580689.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25 + 986085604 = 5^2 + 31402^2 .

It is not a de Polignac number, because 986085629 - 228 = 717650173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986085623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29762 + ... + 53459.

It is an arithmetic number, because the mean of its divisors is an integer number (89422039).

Almost surely, 2986085629 is an apocalyptic number.

It is an amenable number.

986085629 is a deficient number, since it is larger than the sum of its proper divisors (86978839).

986085629 is a wasteful number, since it uses less digits than its factorization.

986085629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83296 (or 83279 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 53.

The square root of 986085629 is about 31402.0003980638. Note that the first 3 decimals coincide. The cubic root of 986085629 is about 995.3401962900.

The spelling of 986085629 in words is "nine hundred eighty-six million, eighty-five thousand, six hundred twenty-nine".

Divisors: 1 17 41 289 697 11849 83221 1414757 3412061 24050869 58005037 986085629