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20033442 = 232111343181
BaseRepresentation
bin100110001101…
…0111110100010
31101200210201100
41030122332202
520112032232
61553215230
7332165352
oct114327642
941623640
1020033442
1110343470
126861516
1341c5710
142936b62
151b5ac7c
hex131afa2

20033442 has 96 divisors (see below), whose sum is σ = 52468416. Its totient is φ = 5443200.

The previous prime is 20033441. The next prime is 20033459. The reversal of 20033442 is 24433002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20033441) 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 47 ways as a sum of consecutive naturals, for example, 110592 + ... + 110772.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 220033442 is an apocalyptic number.

20033442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20033442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26234208).

20033442 is an abundant number, since it is smaller than the sum of its proper divisors (32434974).

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

20033442 is a wasteful number, since it uses less digits than its factorization.

20033442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20033442 is about 4475.8733226042. The cubic root of 20033442 is about 271.5929700022.

Adding to 20033442 its reverse (24433002), we get a palindrome (44466444).

It can be divided in two parts, 2003 and 3442, that added together give a palindrome (5445).

The spelling of 20033442 in words is "twenty million, thirty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 43 66 78 86 99 117 129 143 181 198 234 258 286 362 387 429 473 543 559 774 858 946 1086 1118 1287 1419 1629 1677 1991 2353 2574 2838 3258 3354 3982 4257 4706 5031 5973 6149 7059 7783 8514 10062 11946 12298 14118 15566 17919 18447 21177 23349 25883 35838 36894 42354 46698 51766 55341 70047 77649 85613 101179 110682 140094 155298 171226 202358 232947 256839 303537 465894 513678 607074 770517 910611 1112969 1541034 1821222 2225938 3338907 6677814 10016721 20033442