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86360442 = 23721737467
BaseRepresentation
bin1010010010111…
…00000101111010
320000111120020220
411021130011322
5134102013232
612323000510
72066023500
oct511340572
9200446226
1086360442
1144825973
1224b09136
1314b7946c
14b680670
1578ad42c
hex525c17a

86360442 has 96 divisors (see below), whose sum is σ = 218956608. Its totient is φ = 22546944.

The previous prime is 86360441. The next prime is 86360467. The reversal of 86360442 is 24406368.

It is not an unprimeable number, because it can be changed into a prime (86360441) 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 47 ways as a sum of consecutive naturals, for example, 184693 + ... + 185159.

It is an arithmetic number, because the mean of its divisors is an integer number (2280798).

Almost surely, 286360442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86360442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109478304).

86360442 is an abundant number, since it is smaller than the sum of its proper divisors (132596166).

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

86360442 is a wasteful number, since it uses less digits than its factorization.

86360442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 86360442 is about 9293.0319056807. The cubic root of 86360442 is about 442.0163005939.

The spelling of 86360442 in words is "eighty-six million, three hundred sixty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 49 51 74 98 102 111 119 147 222 238 259 294 357 467 518 629 714 777 833 934 1258 1401 1554 1666 1813 1887 2499 2802 3269 3626 3774 4403 4998 5439 6538 7939 8806 9807 10878 13209 15878 17279 19614 22883 23817 26418 30821 34558 45766 47634 51837 55573 61642 68649 92463 103674 111146 120953 137298 166719 184926 241906 293743 333438 362859 389011 587486 725718 778022 846671 881229 1167033 1693342 1762458 2056201 2334066 2540013 4112402 5080026 6168603 12337206 14393407 28786814 43180221 86360442