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41445612 = 223213195979
BaseRepresentation
bin1001111000011…
…0100011101100
32212222122200200
42132012203230
541102224422
64040153500
71012165455
oct236064354
985878620
1041445612
112143877a
1211a68890
138781840
14570c12c
15398a2ac
hex27868ec

41445612 has 144 divisors (see below), whose sum is σ = 122304000. Its totient is φ = 11726208.

The previous prime is 41445601. The next prime is 41445617. The reversal of 41445612 is 21654414.

41445612 is a `hidden beast` number, since 4 + 1 + 4 + 45 + 612 = 666.

41445612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41445617) 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, 524589 + ... + 524667.

Almost surely, 241445612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41445612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152000).

41445612 is an abundant number, since it is smaller than the sum of its proper divisors (80858388).

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

41445612 is a wasteful number, since it uses less digits than its factorization.

41445612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 41445612 is about 6437.8266519067. The cubic root of 41445612 is about 346.0664667881.

The spelling of 41445612 in words is "forty-one million, four hundred forty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 59 76 78 79 114 117 118 156 158 171 177 228 234 236 237 247 316 342 354 468 474 494 531 684 708 711 741 767 948 988 1027 1062 1121 1422 1482 1501 1534 2054 2124 2223 2242 2301 2844 2964 3002 3068 3081 3363 4108 4446 4484 4503 4602 4661 6004 6162 6726 6903 8892 9006 9204 9243 9322 10089 12324 13452 13509 13806 13983 14573 18012 18486 18644 19513 20178 27018 27612 27966 29146 36972 39026 40356 41949 43719 54036 55932 58292 58539 60593 78052 83898 87438 88559 117078 121186 131157 167796 174876 175617 177118 181779 234156 242372 262314 265677 351234 354236 363558 524628 531354 545337 702468 727116 797031 1062708 1090674 1151267 1594062 2181348 2302534 3188124 3453801 4605068 6907602 10361403 13815204 20722806 41445612