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86141556 = 223743229
BaseRepresentation
bin1010010001001…
…10101001110100
320000002110000000
411020212221310
5134023012211
612314151300
72064122364
oct510465164
9200073000
1086141556
1144696476
1224a22530
1314b00947
14b6249a4
157868656
hex5226a74

86141556 has 96 divisors (see below), whose sum is σ = 232355200. Its totient is φ = 27923616.

The previous prime is 86141551. The next prime is 86141569. The reversal of 86141556 is 65514168.

86141556 is a `hidden beast` number, since 8 + 61 + 41 + 556 = 666.

It is a super-2 number, since 2×861415562 = 14840735340202272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86141556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86141551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376050 + ... + 376278.

Almost surely, 286141556 is an apocalyptic number.

86141556 is a gapful number since it is divisible by the number (86) 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 86141556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116177600).

86141556 is an abundant number, since it is smaller than the sum of its proper divisors (146213644).

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

86141556 is a wasteful number, since it uses less digits than its factorization.

86141556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 86141556 is about 9281.2475454542. The cubic root of 86141556 is about 441.6425452275.

The spelling of 86141556 in words is "eighty-six million, one hundred forty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 229 243 258 324 387 458 486 516 687 729 774 916 972 1161 1374 1458 1548 2061 2187 2322 2748 2916 3483 4122 4374 4644 6183 6966 8244 8748 9847 10449 12366 13932 18549 19694 20898 24732 29541 31347 37098 39388 41796 55647 59082 62694 74196 88623 94041 111294 118164 125388 166941 177246 188082 222588 265869 333882 354492 376164 500823 531738 667764 797607 1001646 1063476 1595214 2003292 2392821 3190428 4785642 7178463 9571284 14356926 21535389 28713852 43070778 86141556