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86529492 = 22337283197
BaseRepresentation
bin1010010100001…
…01010111010100
320000211011011000
411022011113110
5134122420432
612330343300
72100326400
oct512052724
9200734130
1086529492
1144930985
1224b8ab30
1314c083aa
14b6c6100
1578e357c
hex52855d4

86529492 has 144 divisors (see below), whose sum is σ = 265446720. Its totient is φ = 24300864.

The previous prime is 86529481. The next prime is 86529497. The reversal of 86529492 is 29492568.

86529492 is a `hidden beast` number, since 86 + 529 + 49 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86529497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439138 + ... + 439334.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 286529492 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 86529492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132723360).

86529492 is an abundant number, since it is smaller than the sum of its proper divisors (178917228).

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

86529492 is a wasteful number, since it uses less digits than its factorization.

86529492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 86529492 is about 9302.1229834915. The cubic root of 86529492 is about 442.3045272801.

The spelling of 86529492 in words is "eighty-six million, five hundred twenty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 83 84 98 108 126 147 166 189 196 197 249 252 294 332 378 394 441 498 581 588 591 747 756 788 882 996 1162 1182 1323 1379 1494 1743 1764 1773 2241 2324 2364 2646 2758 2988 3486 3546 4067 4137 4482 5229 5292 5319 5516 6972 7092 8134 8274 8964 9653 10458 10638 12201 12411 15687 16268 16351 16548 19306 20916 21276 24402 24822 28959 31374 32702 36603 37233 38612 48804 49053 49644 57918 62748 65404 73206 74466 86877 98106 109809 114457 115836 146412 147159 148932 173754 196212 219618 228914 260631 294318 343371 347508 439236 441477 457828 521262 588636 686742 801199 882954 1030113 1042524 1373484 1602398 1765908 2060226 2403597 3090339 3204796 4120452 4807194 6180678 7210791 9614388 12361356 14421582 21632373 28843164 43264746 86529492