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85903873 = 11172319973
BaseRepresentation
bin1010001111011…
…00101000000001
312222122100221221
411013230220001
5133442410443
612305115041
72062112416
oct507545001
9188570857
1085903873
1144543940
1224928a81
1314a496c3
14b5a210d
15781ceed
hex51eca01

85903873 has 16 divisors (see below), whose sum is σ = 103545216. Its totient is φ = 70301440.

The previous prime is 85903871. The next prime is 85903891. The reversal of 85903873 is 37830958.

It is a happy number.

It is not a de Polignac number, because 85903873 - 21 = 85903871 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85903871) 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 15 ways as a sum of consecutive naturals, for example, 5686 + ... + 14287.

It is an arithmetic number, because the mean of its divisors is an integer number (6471576).

Almost surely, 285903873 is an apocalyptic number.

It is an amenable number.

85903873 is a deficient number, since it is larger than the sum of its proper divisors (17641343).

85903873 is a wasteful number, since it uses less digits than its factorization.

85903873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20024.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 85903873 is about 9268.4342259089. The cubic root of 85903873 is about 441.2359756074.

The spelling of 85903873 in words is "eighty-five million, nine hundred three thousand, eight hundred seventy-three".

Divisors: 1 11 17 23 187 253 391 4301 19973 219703 339541 459379 3734951 5053169 7809443 85903873