Search a number
-
+
85631346 = 23217234
BaseRepresentation
bin1010001101010…
…10000101110010
312222010112010100
411012222011302
5133410200341
612255213230
72056566033
oct506520562
9188115110
1085631346
1144378109
1224817216
1314982648
14b530a8a
1577b73b6
hex51aa172

85631346 has 60 divisors (see below), whose sum is σ = 205377822. Its totient is φ = 25696704.

The previous prime is 85631327. The next prime is 85631353. The reversal of 85631346 is 64313658.

It can be written as a sum of positive squares in only one way, i.e., 62964225 + 22667121 = 7935^2 + 4761^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (51840) is a multiple of the sum of its prime divisors (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85631346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3723091 + ... + 3723113.

Almost surely, 285631346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85631346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102688911).

85631346 is an abundant number, since it is smaller than the sum of its proper divisors (119746476).

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

85631346 is an equidigital number, since it uses as much as digits as its factorization.

85631346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 45 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 85631346 is about 9253.7206571195. The cubic root of 85631346 is about 440.7688794656.

The spelling of 85631346 in words is "eighty-five million, six hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 529 782 1058 1173 1587 2346 3174 3519 4761 7038 8993 9522 12167 17986 24334 26979 36501 53958 73002 80937 109503 161874 206839 219006 279841 413678 559682 620517 839523 1241034 1679046 1861551 2518569 3723102 4757297 5037138 9514594 14271891 28543782 42815673 85631346