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86044392 = 233272293
BaseRepresentation
bin1010010000011…
…10111011101000
312222220111201100
411020032323220
5134011410032
612312121400
72063236200
oct510167350
9188814640
1086044392
114462a475
1224996260
1314a98655
14b5db400
15784997c
hex520eee8

86044392 has 144 divisors (see below), whose sum is σ = 280764900. Its totient is φ = 23736384.

The previous prime is 86044381. The next prime is 86044393. The reversal of 86044392 is 29344068.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86044392 is a `hidden beast` number, since 8 + 604 + 43 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75585636 + 10458756 = 8694^2 + 3234^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86044393) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2967034 + ... + 2967062.

Almost surely, 286044392 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 86044392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140382450).

86044392 is an abundant number, since it is smaller than the sum of its proper divisors (194720508).

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

86044392 is a wasteful number, since it uses less digits than its factorization.

86044392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 86044392 is about 9276.0116429422. The cubic root of 86044392 is about 441.4764314392.

It can be divided in two parts, 86044 and 392, that added together give a square (86436 = 2942).

The spelling of 86044392 in words is "eighty-six million, forty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 49 56 58 63 72 84 87 98 116 126 147 168 174 196 203 232 252 261 294 348 392 406 441 504 522 588 609 696 812 841 882 1044 1176 1218 1421 1624 1682 1764 1827 2088 2436 2523 2842 3364 3528 3654 4263 4872 5046 5684 5887 6728 7308 7569 8526 10092 11368 11774 12789 14616 15138 17052 17661 20184 23548 24389 25578 30276 34104 35322 41209 47096 48778 51156 52983 60552 70644 73167 82418 97556 102312 105966 123627 141288 146334 164836 170723 195112 211932 219501 247254 292668 329672 341446 370881 423864 439002 494508 512169 585336 682892 741762 878004 989016 1024338 1195061 1365784 1483524 1536507 1756008 2048676 2390122 2967048 3073014 3585183 4097352 4780244 6146028 7170366 9560488 10755549 12292056 14340732 21511098 28681464 43022196 86044392