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86185044 = 2232111032113
BaseRepresentation
bin1010010001100…
…01010001010100
320000011122122200
411020301101110
5134030410134
612315124500
72064363231
oct510612124
9200148580
1086185044
1144716110
1224a43730
1314b1768a
14b636788
157876499
hex5231454

86185044 has 72 divisors (see below), whose sum is σ = 240082752. Its totient is φ = 25850880.

The previous prime is 86185039. The next prime is 86185051. The reversal of 86185044 is 44058168.

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 23 ways as a sum of consecutive naturals, for example, 39732 + ... + 41844.

Almost surely, 286185044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86185044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120041376).

86185044 is an abundant number, since it is smaller than the sum of its proper divisors (153897708).

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

86185044 is a wasteful number, since it uses less digits than its factorization.

86185044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2232 counting only the distinct ones).

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

The square root of 86185044 is about 9283.5900383418. The cubic root of 86185044 is about 441.7168528392.

It can be divided in two parts, 861 and 85044, that added together give a triangular number (85905 = T414).

The spelling of 86185044 in words is "eighty-six million, one hundred eighty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2113 2266 3399 3708 4226 4532 6339 6798 8452 10197 12678 13596 19017 20394 23243 25356 38034 40788 46486 69729 76068 92972 139458 209187 217639 278916 418374 435278 652917 836748 870556 1305834 1958751 2394029 2611668 3917502 4788058 7182087 7835004 9576116 14364174 21546261 28728348 43092522 86185044