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41053122 = 23311261103
BaseRepresentation
bin1001110010011…
…0101111000010
32212020201022000
42130212233002
541002144442
64023524430
71005642255
oct234465702
985221260
1041053122
112119a900
12118b9716
138674cb6
14564909c
15390dd4c
hex2726bc2

41053122 has 96 divisors (see below), whose sum is σ = 102910080. Its totient is φ = 12117600.

The previous prime is 41053099. The next prime is 41053127. The reversal of 41053122 is 22135014.

41053122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 41053095 and 41053104.

It is not an unprimeable number, because it can be changed into a prime (41053127) 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, 398523 + ... + 398625.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 241053122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41053122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51455040).

41053122 is an abundant number, since it is smaller than the sum of its proper divisors (61856958).

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

41053122 is a wasteful number, since it uses less digits than its factorization.

41053122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 41053122 is about 6407.2710259517. The cubic root of 41053122 is about 344.9705835032.

Adding to 41053122 its reverse (22135014), we get a palindrome (63188136).

It can be divided in two parts, 4105 and 3122, that added together give a palindrome (7227).

The spelling of 41053122 in words is "forty-one million, fifty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 103 121 122 183 198 206 242 297 309 363 366 549 594 618 671 726 927 1089 1098 1133 1342 1647 1854 2013 2178 2266 2781 3267 3294 3399 4026 5562 6039 6283 6534 6798 7381 10197 12078 12463 12566 14762 18117 18849 20394 22143 24926 30591 36234 37389 37698 44286 56547 61182 66429 69113 74778 112167 113094 132858 138226 169641 199287 207339 224334 336501 339282 398574 414678 622017 673002 760243 1244034 1520486 1866051 2280729 3732102 4561458 6842187 13684374 20526561 41053122