Search a number
-
+
85650138 = 23272192269
BaseRepresentation
bin1010001101011…
…10101011011010
312222011110220100
411012232223122
5133411301023
612255440230
72060004600
oct506565332
9188143810
1085650138
1144390242
1224826076
131498b072
14b537870
1577bcc43
hex51aeada

85650138 has 108 divisors (see below), whose sum is σ = 228680010. Its totient is φ = 23097312.

The previous prime is 85650113. The next prime is 85650139. The reversal of 85650138 is 83105658.

It can be written as a sum of positive squares in only one way, i.e., 84217329 + 1432809 = 9177^2 + 1197^2 .

It is a super-2 number, since 2×856501382 = 14671892278838088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85650139) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 318268 + ... + 318536.

Almost surely, 285650138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85650138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114340005).

85650138 is an abundant number, since it is smaller than the sum of its proper divisors (143029872).

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

85650138 is a wasteful number, since it uses less digits than its factorization.

85650138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85650138 is about 9254.7359767851. The cubic root of 85650138 is about 440.8011196959.

The spelling of 85650138 in words is "eighty-five million, six hundred fifty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 269 294 342 361 399 441 538 722 798 807 882 931 1083 1197 1614 1862 1883 2166 2394 2421 2527 2793 3249 3766 4842 5054 5111 5586 5649 6498 7581 8379 10222 11298 13181 15162 15333 16758 16947 17689 22743 26362 30666 33894 35378 35777 39543 45486 45999 53067 71554 79086 91998 97109 106134 107331 118629 159201 194218 214662 237258 250439 291327 318402 321993 500878 582654 643986 679763 751317 873981 1359526 1502634 1747962 2039289 2253951 4078578 4507902 4758341 6117867 9516682 12235734 14275023 28550046 42825069 85650138