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85789431 = 32713312109
BaseRepresentation
bin1010001110100…
…00101011110111
312222102112222100
411013100223313
5133430230211
612302433143
72061124650
oct507205367
9188375870
1085789431
1144475962
12248927b3
1314a095a0
14b572527
1577e9156
hex51d0af7

85789431 has 72 divisors (see below), whose sum is σ = 159038880. Its totient is φ = 43390080.

The previous prime is 85789399. The next prime is 85789439. The reversal of 85789431 is 13498758.

It is not a de Polignac number, because 85789431 - 25 = 85789399 is a prime.

It is a super-2 number, since 2×857894312 = 14719652942607522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85789439) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 787005 + ... + 787113.

Almost surely, 285789431 is an apocalyptic number.

85789431 is a deficient number, since it is larger than the sum of its proper divisors (73249449).

85789431 is a wasteful number, since it uses less digits than its factorization.

85789431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 85789431 is about 9262.2584179022. The cubic root of 85789431 is about 441.0399488700.

The spelling of 85789431 in words is "eighty-five million, seven hundred eighty-nine thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 31 39 63 91 93 109 117 217 273 279 327 403 651 763 819 961 981 1209 1417 1953 2289 2821 2883 3379 3627 4251 6727 6867 8463 8649 9919 10137 12493 12753 20181 23653 25389 29757 30411 37479 43927 60543 70959 87451 89271 104749 112437 131781 212877 262353 307489 314247 395343 733243 787059 922467 942741 1361737 2199729 2767401 4085211 6599187 9532159 12255633 28596477 85789431