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36018918 = 235135701
BaseRepresentation
bin1000100101100…
…1101011100110
32111202221200000
42021121223212
533210101133
63324002130
7615104265
oct211315346
974687600
1036018918
1119371601
1210090346
137601790
144ad85dc
153267413
hex2259ae6

36018918 has 48 divisors (see below), whose sum is σ = 87172176. Its totient is φ = 11080800.

The previous prime is 36018901. The next prime is 36018919. The reversal of 36018918 is 81981063.

36018918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36018919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3468 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (1816087).

Almost surely, 236018918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36018918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43586088).

36018918 is an abundant number, since it is smaller than the sum of its proper divisors (51153258).

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

36018918 is a wasteful number, since it uses less digits than its factorization.

36018918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 36018918 is about 6001.5762929417. The cubic root of 36018918 is about 330.2505535200.

The spelling of 36018918 in words is "thirty-six million, eighteen thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 5701 6318 11402 17103 34206 51309 74113 102618 148226 153927 222339 307854 444678 461781 667017 923562 1334034 1385343 2001051 2770686 4002102 6003153 12006306 18009459 36018918