Search a number
-
+
85682286 = 237191031
BaseRepresentation
bin1010001101101…
…10100001101110
312222020010000000
411012312201232
5133413313121
612300245130
72060200404
oct506664156
9188203000
1085682286
1144402408
12248407a6
131499c8a1
14b545474
1577c7526
hex51b686e

85682286 has 64 divisors (see below), whose sum is σ = 203097600. Its totient is φ = 27031320.

The previous prime is 85682263. The next prime is 85682287. The reversal of 85682286 is 68228658.

85682286 is a `hidden beast` number, since 8 + 568 + 2 + 2 + 86 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85682287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82591 + ... + 83621.

It is an arithmetic number, because the mean of its divisors is an integer number (3173400).

Almost surely, 285682286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85682286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101548800).

85682286 is an abundant number, since it is smaller than the sum of its proper divisors (117415314).

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

85682286 is a wasteful number, since it uses less digits than its factorization.

85682286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1055 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 85682286 is about 9256.4726543106. The cubic root of 85682286 is about 440.8562630272.

The spelling of 85682286 in words is "eighty-five million, six hundred eighty-two thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1031 1458 1539 2062 2187 3078 3093 4374 4617 6186 9234 9279 13851 18558 19589 27702 27837 39178 41553 55674 58767 83106 83511 117534 167022 176301 250533 352602 501066 528903 751599 1057806 1503198 1586709 2254797 3173418 4509594 4760127 9520254 14280381 28560762 42841143 85682286