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81324594 = 233133137101
BaseRepresentation
bin1001101100011…
…10101000110010
312200000201101000
410312032220302
5131304341334
612023022430
72005150641
oct466165062
9180021330
1081324594
11419a640a
122329aa16
1313b05280
14ab2d358
157216299
hex4d8ea32

81324594 has 128 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 23328000.

The previous prime is 81324571. The next prime is 81324623. The reversal of 81324594 is 49542318.

It is a super-2 number, since 2×813245942 = 13227379178529672, which contains 22 as substring.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 805144 + ... + 805244.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 281324594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81324594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

81324594 is an abundant number, since it is smaller than the sum of its proper divisors (127049166).

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

81324594 is a wasteful number, since it uses less digits than its factorization.

81324594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 81324594 is about 9018.0149700475. The cubic root of 81324594 is about 433.2520582614.

It can be divided in two parts, 81324 and 594, that added together give a palindrome (81918).

The spelling of 81324594 in words is "eighty-one million, three hundred twenty-four thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 37 39 54 62 74 78 93 101 111 117 186 202 222 234 279 303 333 351 403 481 558 606 666 702 806 837 909 962 999 1147 1209 1313 1443 1674 1818 1998 2294 2418 2626 2727 2886 3131 3441 3627 3737 3939 4329 5454 6262 6882 7254 7474 7878 8658 9393 10323 10881 11211 11817 12987 14911 18786 20646 21762 22422 23634 25974 28179 29822 30969 33633 35451 40703 44733 48581 56358 61938 67266 70902 81406 84537 89466 97162 100899 115847 122109 134199 145743 169074 201798 231694 244218 268398 291486 347541 366327 402597 437229 695082 732654 805194 874458 1042623 1098981 1311687 1506011 2085246 2197962 2623374 3012022 3127869 4518033 6255738 9036066 13554099 27108198 40662297 81324594