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41123136 = 2631743293
BaseRepresentation
bin1001110011011…
…1110101000000
32212101021100010
42130313311000
541011420021
64025224520
71006353345
oct234676500
985337303
1041123136
112123846a
1211932140
13869ab22
1456667cc
153924976
hex2737d40

41123136 has 112 divisors (see below), whose sum is σ = 118286784. Its totient is φ = 12558336.

The previous prime is 41123113. The next prime is 41123141. The reversal of 41123136 is 63132114.

41123136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×411231362 = 3382224628948992, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 140206 + ... + 140498.

It is an arithmetic number, because the mean of its divisors is an integer number (1056132).

Almost surely, 241123136 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 41123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59143392).

41123136 is an abundant number, since it is smaller than the sum of its proper divisors (77163648).

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

41123136 is a wasteful number, since it uses less digits than its factorization.

41123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 358 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 41123136 is about 6412.7323349724. The cubic root of 41123136 is about 345.1665820194.

The spelling of 41123136 in words is "forty-one million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 172 192 204 258 272 293 344 408 516 544 586 688 731 816 879 1032 1088 1172 1376 1462 1632 1758 2064 2193 2344 2752 2924 3264 3516 4128 4386 4688 4981 5848 7032 8256 8772 9376 9962 11696 12599 14064 14943 17544 18752 19924 23392 25198 28128 29886 35088 37797 39848 46784 50396 56256 59772 70176 75594 79696 100792 119544 140352 151188 159392 201584 214183 239088 302376 318784 403168 428366 478176 604752 642549 806336 856732 956352 1209504 1285098 1713464 2419008 2570196 3426928 5140392 6853856 10280784 13707712 20561568 41123136