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406058085 = 32557115803
BaseRepresentation
bin11000001100111…
…111010001100101
31001022001212222100
4120030333101211
51312422324320
6104143122313
713030302546
oct3014772145
91038055870
10406058085
111992334a4
12b3ba3399
1366182b74
143bd004cd
15259ad790
hex1833f465

406058085 has 24 divisors (see below), whose sum is σ = 705111264. Its totient is φ = 216171360.

The previous prime is 406058071. The next prime is 406058111. The reversal of 406058085 is 580850604.

It is a happy number.

406058085 is a `hidden beast` number, since 40 + 605 + 8 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 406058085 - 25 = 406058053 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17794 + ... + 33596.

It is an arithmetic number, because the mean of its divisors is an integer number (29379636).

Almost surely, 2406058085 is an apocalyptic number.

406058085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

406058085 is a deficient number, since it is larger than the sum of its proper divisors (299053179).

406058085 is a wasteful number, since it uses less digits than its factorization.

406058085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16382 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 406058085 is about 20150.8829831350. The cubic root of 406058085 is about 740.5073736178.

The spelling of 406058085 in words is "four hundred six million, fifty-eight thousand, eighty-five".

Divisors: 1 3 5 9 15 45 571 1713 2855 5139 8565 15803 25695 47409 79015 142227 237045 711135 9023513 27070539 45117565 81211617 135352695 406058085