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85096781 = 72111737251
BaseRepresentation
bin1010001001001…
…11100101001101
312221010100211122
411010213211031
5133241044111
612235530325
72052211400
oct504474515
9187110748
1085096781
1144042520
12245b99a5
1314826233
14b431d37
15770dcdb
hex512794d

85096781 has 48 divisors (see below), whose sum is σ = 117899712. Its totient is φ = 60480000.

The previous prime is 85096777. The next prime is 85096783. The reversal of 85096781 is 18769058.

It is a happy number.

It is not a de Polignac number, because 85096781 - 22 = 85096777 is a prime.

It is a super-2 number, since 2×850967812 = 14482924273123922, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85096783) 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 47 ways as a sum of consecutive naturals, for example, 338906 + ... + 339156.

It is an arithmetic number, because the mean of its divisors is an integer number (2456244).

Almost surely, 285096781 is an apocalyptic number.

It is an amenable number.

85096781 is a deficient number, since it is larger than the sum of its proper divisors (32802931).

85096781 is a wasteful number, since it uses less digits than its factorization.

85096781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 85096781 is about 9224.7916507637. The cubic root of 85096781 is about 439.8497782636.

The spelling of 85096781 in words is "eighty-five million, ninety-six thousand, seven hundred eighty-one".

Divisors: 1 7 11 17 37 49 77 119 187 251 259 407 539 629 833 1309 1757 1813 2761 2849 4267 4403 6919 9163 9287 12299 19327 19943 29869 30821 46937 48433 65009 102157 135289 157879 209083 328559 339031 455063 715099 1105153 1736669 2299913 5005693 7736071 12156683 85096781