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86240088 = 233211219521
BaseRepresentation
bin1010010001111…
…10101101011000
320000021110011100
411020332231120
5134034140323
612320231400
72065012554
oct510765530
9200243140
1086240088
1144753500
1224a6b560
1314b3674c
14b64c864
157887943
hex523eb58

86240088 has 144 divisors (see below), whose sum is σ = 270761400. Its totient is φ = 24710400.

The previous prime is 86240029. The next prime is 86240093. The reversal of 86240088 is 88004268.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165268 + ... + 165788.

Almost surely, 286240088 is an apocalyptic number.

86240088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86240088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135380700).

86240088 is an abundant number, since it is smaller than the sum of its proper divisors (184521312).

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

86240088 is a wasteful number, since it uses less digits than its factorization.

86240088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86240088 is about 9286.5541510293. The cubic root of 86240088 is about 441.8108702655.

The spelling of 86240088 in words is "eighty-six million, two hundred forty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 121 132 152 171 198 209 228 242 264 342 363 396 418 456 484 521 627 684 726 792 836 968 1042 1089 1254 1368 1452 1563 1672 1881 2084 2178 2299 2508 2904 3126 3762 4168 4356 4598 4689 5016 5731 6252 6897 7524 8712 9196 9378 9899 11462 12504 13794 15048 17193 18392 18756 19798 20691 22924 27588 29697 34386 37512 39596 41382 45848 51579 55176 59394 63041 68772 79192 82764 89091 103158 108889 118788 126082 137544 165528 178182 189123 206316 217778 237576 252164 326667 356364 378246 412632 435556 504328 567369 653334 712728 756492 871112 980001 1134738 1197779 1306668 1512984 1960002 2269476 2395558 2613336 3593337 3920004 4538952 4791116 7186674 7840008 9582232 10780011 14373348 21560022 28746696 43120044 86240088