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85635396 = 223271130893
BaseRepresentation
bin1010001101010…
…11000101000100
312222010201200100
411012223011010
5133410313041
612255244100
72056613610
oct506530504
9188121610
1085635396
1144380160
1224819630
1314984442
14b532340
1577b86b6
hex51ab144

85635396 has 72 divisors (see below), whose sum is σ = 269889984. Its totient is φ = 22242240.

The previous prime is 85635391. The next prime is 85635397. The reversal of 85635396 is 69353658.

85635396 is a `hidden beast` number, since 8 + 5 + 635 + 3 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (85635391) 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 23 ways as a sum of consecutive naturals, for example, 12675 + ... + 18218.

It is an arithmetic number, because the mean of its divisors is an integer number (3748472).

Almost surely, 285635396 is an apocalyptic number.

It is an amenable number.

85635396 is an abundant number, since it is smaller than the sum of its proper divisors (184254588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85635396 is a wasteful number, since it uses less digits than its factorization.

85635396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30921 (or 30916 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 85635396 is about 9253.9394854300. The cubic root of 85635396 is about 440.7758281898.

The spelling of 85635396 in words is "eighty-five million, six hundred thirty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 30893 61786 92679 123572 185358 216251 278037 339823 370716 432502 556074 648753 679646 865004 1019469 1112148 1297506 1359292 1946259 2038938 2378761 2595012 3058407 3892518 4077876 4757522 6116814 7136283 7785036 9515044 12233628 14272566 21408849 28545132 42817698 85635396