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41123412 = 223211113919
BaseRepresentation
bin1001110011011…
…1111001010100
32212101021201100
42130313321110
541011422122
64025230100
71006354221
oct234677124
985337640
1041123412
11212386a0
1211932330
13869aca5
145666948
153924aac
hex2737e54

41123412 has 72 divisors (see below), whose sum is σ = 114528960. Its totient is φ = 12337920.

The previous prime is 41123399. The next prime is 41123419. The reversal of 41123412 is 21432114.

It is a super-2 number, since 2×411234122 = 3382270029043488, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41123419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44289 + ... + 45207.

It is an arithmetic number, because the mean of its divisors is an integer number (1590680).

Almost surely, 241123412 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 41123412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57264480).

41123412 is an abundant number, since it is smaller than the sum of its proper divisors (73405548).

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

41123412 is a wasteful number, since it uses less digits than its factorization.

41123412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1048 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41123412 is about 6412.7538546244. The cubic root of 41123412 is about 345.1673542186.

Adding to 41123412 its reverse (21432114), we get a palindrome (62555526).

The spelling of 41123412 in words is "forty-one million, one hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 919 1017 1243 1356 1838 2034 2486 2757 3676 3729 4068 4972 5514 7458 8271 10109 11028 11187 14916 16542 20218 22374 30327 33084 40436 44748 60654 90981 103847 121308 181962 207694 311541 363924 415388 623082 934623 1142317 1246164 1869246 2284634 3426951 3738492 4569268 6853902 10280853 13707804 20561706 41123412