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33266142 = 23271323883
BaseRepresentation
bin111111011100…
…1100111011110
32022121002120100
41332321213132
532004004032
63145001530
7552520560
oct176714736
968532510
1033266142
1117861388
12b1832a6
136b79810
1445bd330
152dc197c
hex1fb99de

33266142 has 96 divisors (see below), whose sum is σ = 92671488. Its totient is φ = 8382528.

The previous prime is 33266141. The next prime is 33266159. The reversal of 33266142 is 24166233.

It is a super-2 number, since 2×332661422 = 2213272407128328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33266141) 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, 37233 + ... + 38115.

It is an arithmetic number, because the mean of its divisors is an integer number (965328).

Almost surely, 233266142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33266142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46335744).

33266142 is an abundant number, since it is smaller than the sum of its proper divisors (59405346).

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

33266142 is a wasteful number, since it uses less digits than its factorization.

33266142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 931 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 33266142 is about 5767.6808164114. The cubic root of 33266142 is about 321.6134076797.

Subtracting from 33266142 its reverse (24166233), we obtain a palindrome (9099909).

The spelling of 33266142 in words is "thirty-three million, two hundred sixty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 39 42 46 63 69 78 91 117 126 138 161 182 207 234 273 299 322 414 483 546 598 819 883 897 966 1449 1638 1766 1794 2093 2649 2691 2898 4186 5298 5382 6181 6279 7947 11479 12362 12558 15894 18543 18837 20309 22958 34437 37086 37674 40618 55629 60927 68874 80353 103311 111258 121854 142163 160706 182781 206622 241059 264017 284326 365562 426489 482118 528034 723177 792051 852978 1279467 1446354 1584102 1848119 2376153 2558934 3696238 4752306 5544357 11088714 16633071 33266142