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86410422 = 23372172113
BaseRepresentation
bin1010010011010…
…00010010110110
320000121002211000
411021220102312
5134110113142
612324024130
72066322300
oct511502266
9200532730
1086410422
114485a47a
1224b32046
1314b96137
14b694970
1578bd14c
hex52684b6

86410422 has 144 divisors (see below), whose sum is σ = 239386320. Its totient is φ = 23030784.

The previous prime is 86410409. The next prime is 86410433. The reversal of 86410422 is 22401468.

It is a super-2 number, since 2×864104222 = 14933522060436168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764638 + ... + 764750.

It is an arithmetic number, because the mean of its divisors is an integer number (1662405).

Almost surely, 286410422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86410422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119693160).

86410422 is an abundant number, since it is smaller than the sum of its proper divisors (152975898).

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

86410422 is a wasteful number, since it uses less digits than its factorization.

86410422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 86410422 is about 9295.7206283322. The cubic root of 86410422 is about 442.1015545742.

The spelling of 86410422 in words is "eighty-six million, four hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 113 119 126 147 153 189 226 238 289 294 306 339 357 378 441 459 578 678 714 791 833 867 882 918 1017 1071 1323 1582 1666 1734 1921 2023 2034 2142 2373 2499 2601 2646 3051 3213 3842 4046 4746 4998 5202 5537 5763 6069 6102 6426 7119 7497 7803 11074 11526 12138 13447 14161 14238 14994 15606 16611 17289 18207 21357 22491 26894 28322 32657 33222 34578 36414 40341 42483 42714 44982 49833 51867 54621 65314 80682 84966 94129 97971 99666 103734 109242 121023 127449 149499 188258 195942 228599 242046 254898 282387 293913 298998 363069 382347 457198 564774 587826 685797 726138 764694 847161 881739 1371594 1600193 1694322 1763478 2057391 2541483 3200386 4114782 4800579 5082966 6172173 9601158 12344346 14401737 28803474 43205211 86410422