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36148086 = 23313217233
BaseRepresentation
bin1000100111100…
…1001101110110
32112000111212000
42021321031312
533223214321
63330440130
7616153002
oct211711566
975014760
1036148086
111944a657
1210133046
137648500
144b2d702
153290826
hex2279376

36148086 has 96 divisors (see below), whose sum is σ = 92495520. Its totient is φ = 10423296.

The previous prime is 36148081. The next prime is 36148093. The reversal of 36148086 is 68084163.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 36148086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36148081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155026 + ... + 155258.

It is an arithmetic number, because the mean of its divisors is an integer number (963495).

Almost surely, 236148086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36148086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247760).

36148086 is an abundant number, since it is smaller than the sum of its proper divisors (56347434).

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

36148086 is a wasteful number, since it uses less digits than its factorization.

36148086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36148086 is about 6012.3278353729. The cubic root of 36148086 is about 330.6448547675.

The spelling of 36148086 in words is "thirty-six million, one hundred forty-eight thousand, eighty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 221 233 234 306 338 351 442 459 466 507 663 699 702 918 1014 1326 1398 1521 1989 2097 2873 3029 3042 3961 3978 4194 4563 5746 5967 6058 6291 7922 8619 9087 9126 11883 11934 12582 17238 18174 23766 25857 27261 35649 39377 51493 51714 54522 71298 77571 78754 81783 102986 106947 118131 154479 155142 163566 213894 236262 308958 354393 463437 669409 708786 926874 1063179 1338818 1390311 2008227 2126358 2780622 4016454 6024681 12049362 18074043 36148086