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85913631 = 321732967
BaseRepresentation
bin1010001111011…
…11000000011111
312222122212100100
411013233000133
5133443214011
612305232143
72062153026
oct507570037
9188585310
1085913631
1144550201
1224932653
1314a50c8b
14b5a58bd
157820d56
hex51ef01f

85913631 has 48 divisors (see below), whose sum is σ = 138434400. Its totient is φ = 51270912.

The previous prime is 85913591. The next prime is 85913647. The reversal of 85913631 is 13631958.

It is a happy number.

85913631 is a `hidden beast` number, since 8 + 5 + 9 + 13 + 631 = 666.

It is not a de Polignac number, because 85913631 - 217 = 85782559 is a prime.

It is a super-2 number, since 2×859136312 = 14762303983208322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85915631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282260 + ... + 1282326.

It is an arithmetic number, because the mean of its divisors is an integer number (2884050).

Almost surely, 285913631 is an apocalyptic number.

85913631 is a deficient number, since it is larger than the sum of its proper divisors (52520769).

85913631 is a wasteful number, since it uses less digits than its factorization.

85913631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 85913631 is about 9268.9606213426. The cubic root of 85913631 is about 441.2526819462.

The spelling of 85913631 in words is "eighty-five million, nine hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 3 9 17 29 51 67 87 153 201 261 289 493 603 867 1139 1479 1943 2601 3417 4437 4913 5829 8381 10251 14739 17487 19363 25143 33031 44217 58089 75429 99093 142477 174267 297279 329171 427431 561527 987513 1282293 1684581 2962539 5053743 9545959 28637877 85913631