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41166684 = 223313109269
BaseRepresentation
bin1001110100001…
…0011101011100
32212110111002000
42131002131130
541014313214
64030202300
71006624326
oct235023534
985414060
1041166684
1121268159
1211953390
1386b48b0
145678616
153932809
hex274275c

41166684 has 96 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 12503808.

The previous prime is 41166647. The next prime is 41166701. The reversal of 41166684 is 48666114.

41166684 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-3 number, since 3×411666843 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

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 31 ways as a sum of consecutive naturals, for example, 152902 + ... + 153170.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 241166684 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 41166684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212000).

41166684 is an abundant number, since it is smaller than the sum of its proper divisors (75257316).

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

41166684 is a wasteful number, since it uses less digits than its factorization.

41166684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41166684 is about 6416.1268690698. The cubic root of 41166684 is about 345.2883789202.

The spelling of 41166684 in words is "forty-one million, one hundred sixty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 109 117 156 218 234 269 327 351 436 468 538 654 702 807 981 1076 1308 1404 1417 1614 1962 2421 2834 2943 3228 3497 3924 4251 4842 5668 5886 6994 7263 8502 9684 10491 11772 12753 13988 14526 17004 20982 25506 29052 29321 31473 38259 41964 51012 58642 62946 76518 87963 94419 117284 125892 153036 175926 188838 263889 351852 377676 381173 527778 762346 791667 1055556 1143519 1524692 1583334 2287038 3166668 3430557 4574076 6861114 10291671 13722228 20583342 41166684