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41326164 = 223211791321
BaseRepresentation
bin1001110110100…
…1011001010100
32212202120211200
42131221121110
541034414124
64033432500
71011160305
oct235513124
985676750
1041326164
1121366a60
1211a0b730
13873c369
1456ba7ac
153964bc9
hex2769654

41326164 has 72 divisors (see below), whose sum is σ = 115489920. Its totient is φ = 12355200.

The previous prime is 41326163. The next prime is 41326199. The reversal of 41326164 is 46162314.

41326164 is a `hidden beast` number, since 41 + 3 + 2 + 616 + 4 = 666.

41326164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (41326163) 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 23 ways as a sum of consecutive naturals, for example, 30624 + ... + 31944.

Almost surely, 241326164 is an apocalyptic number.

41326164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41326164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57744960).

41326164 is an abundant number, since it is smaller than the sum of its proper divisors (74163756).

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

41326164 is a wasteful number, since it uses less digits than its factorization.

41326164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1416 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 41326164 is about 6428.5429142225. The cubic root of 41326164 is about 345.7336875090.

Adding to 41326164 its reverse (46162314), we get a palindrome (87488478).

It can be divided in two parts, 4132 and 6164, that added together give a triangular number (10296 = T143).

The spelling of 41326164 in words is "forty-one million, three hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 474 711 869 948 1321 1422 1738 2607 2642 2844 3476 3963 5214 5284 7821 7926 10428 11889 14531 15642 15852 23778 29062 31284 43593 47556 58124 87186 104359 130779 174372 208718 261558 313077 417436 523116 626154 939231 1147949 1252308 1878462 2295898 3443847 3756924 4591796 6887694 10331541 13775388 20663082 41326164