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86811318 = 233111011447
BaseRepresentation
bin1010010110010…
…10001010110110
320001100110202000
411023022022312
5134210430233
612340400130
72102612136
oct513121266
9201313660
1086811318
11450036a0
12250a6046
1314ca6759
14b75aac6
15794bd13
hex52ca2b6

86811318 has 64 divisors (see below), whose sum is σ = 212682240. Its totient is φ = 26028000.

The previous prime is 86811317. The next prime is 86811337. The reversal of 86811318 is 81311868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86811313) 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 31 ways as a sum of consecutive naturals, for example, 59271 + ... + 60717.

It is an arithmetic number, because the mean of its divisors is an integer number (3323160).

Almost surely, 286811318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86811318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106341120).

86811318 is an abundant number, since it is smaller than the sum of its proper divisors (125870922).

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

86811318 is a wasteful number, since it uses less digits than its factorization.

86811318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1564 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 86811318 is about 9317.2591463370. The cubic root of 86811318 is about 442.7842012268.

It can be divided in two parts, 8681 and 1318, that added together give a palindrome (9999).

The spelling of 86811318 in words is "eighty-six million, eight hundred eleven thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 101 198 202 297 303 594 606 909 1111 1447 1818 2222 2727 2894 3333 4341 5454 6666 8682 9999 13023 15917 19998 26046 29997 31834 39069 47751 59994 78138 95502 143253 146147 286506 292294 429759 438441 859518 876882 1315323 1607617 2630646 3215234 3945969 4822851 7891938 9645702 14468553 28937106 43405659 86811318