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85342873 = 7112175927
BaseRepresentation
bin1010001011000…
…11101010011001
312221120212102011
411011203222121
5133321432443
612245105521
72054255020
oct505435231
9187525364
1085342873
11441a0400
12246b82a1
13148b1255
14b4978b7
15775bb9d
hex5163a99

85342873 has 24 divisors (see below), whose sum is σ = 113533056. Its totient is φ = 62578560.

The previous prime is 85342867. The next prime is 85342877. The reversal of 85342873 is 37824358.

It is not a de Polignac number, because 85342873 - 217 = 85211801 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85342877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11436 + ... + 17362.

It is an arithmetic number, because the mean of its divisors is an integer number (4730544).

Almost surely, 285342873 is an apocalyptic number.

It is an amenable number.

85342873 is a deficient number, since it is larger than the sum of its proper divisors (28190183).

85342873 is a wasteful number, since it uses less digits than its factorization.

85342873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5973 (or 5962 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 85342873 is about 9238.1206422086. The cubic root of 85342873 is about 440.2733717857.

The spelling of 85342873 in words is "eighty-five million, three hundred forty-two thousand, eight hundred seventy-three".

Divisors: 1 7 11 17 77 119 121 187 847 1309 2057 5927 14399 41489 65197 100759 456379 705313 717167 1108349 5020169 7758443 12191839 85342873