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85274532 = 2235783151
BaseRepresentation
bin1010001010100…
…10111110100100
312221110101200000
411011102332210
5133312241112
612243421300
72053551540
oct505227644
9187411600
1085274532
1144154022
1224684830
1314889105
14b47aa20
1577467dc
hex5152fa4

85274532 has 144 divisors (see below), whose sum is σ = 260262912. Its totient is φ = 23911200.

The previous prime is 85274507. The next prime is 85274569. The reversal of 85274532 is 23547258.

85274532 is a `hidden beast` number, since 8 + 52 + 74 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564657 + ... + 564807.

Almost surely, 285274532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85274532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130131456).

85274532 is an abundant number, since it is smaller than the sum of its proper divisors (174988380).

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

85274532 is a wasteful number, since it uses less digits than its factorization.

85274532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 85274532 is about 9234.4210430324. The cubic root of 85274532 is about 440.1558194680.

The spelling of 85274532 in words is "eighty-five million, two hundred seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 83 84 108 126 151 162 166 189 243 249 252 302 324 332 378 453 486 498 567 581 604 747 756 906 972 996 1057 1134 1162 1359 1494 1701 1743 1812 2114 2241 2268 2324 2718 2988 3171 3402 3486 4077 4228 4482 5229 5436 6342 6723 6804 6972 8154 8964 9513 10458 12231 12533 12684 13446 15687 16308 19026 20169 20916 24462 25066 26892 28539 31374 36693 37599 38052 40338 47061 48924 50132 57078 62748 73386 75198 80676 85617 87731 94122 112797 114156 141183 146772 150396 171234 175462 188244 225594 256851 263193 282366 338391 342468 350924 451188 513702 526386 564732 676782 789579 1015173 1027404 1052772 1353564 1579158 2030346 2368737 3045519 3158316 4060692 4737474 6091038 7106211 9474948 12182076 14212422 21318633 28424844 42637266 85274532