Search a number
-
+
86104458 = 23411211229
BaseRepresentation
bin1010010000111…
…01100110001010
320000000120010000
411020131212022
5134020320313
612313303430
72063606256
oct510354612
9200016100
1086104458
1144670610
1224a04b76
1314ab9aab
14b615266
15785c673
hex521d98a

86104458 has 80 divisors (see below), whose sum is σ = 212398560. Its totient is φ = 25855200.

The previous prime is 86104457. The next prime is 86104471. The reversal of 86104458 is 85440168.

It is not an unprimeable number, because it can be changed into a prime (86104457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375888 + ... + 376116.

It is an arithmetic number, because the mean of its divisors is an integer number (2654982).

Almost surely, 286104458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86104458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106199280).

86104458 is an abundant number, since it is smaller than the sum of its proper divisors (126294102).

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

86104458 is a wasteful number, since it uses less digits than its factorization.

86104458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 86104458 is about 9279.2487842497. The cubic root of 86104458 is about 441.5791363902.

The spelling of 86104458 in words is "eighty-six million, one hundred four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 211 229 297 422 458 594 633 687 891 1266 1374 1782 1899 2061 2321 2519 3798 4122 4642 5038 5697 6183 6963 7557 11394 12366 13926 15114 17091 18549 20889 22671 34182 37098 41778 45342 48319 62667 68013 96638 125334 136026 144957 188001 204039 289914 376002 408078 434871 531509 869742 1063018 1304613 1594527 2609226 3189054 3913839 4783581 7827678 9567162 14350743 28701486 43052229 86104458