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41332104 = 233211232269
BaseRepresentation
bin1001110110101…
…0110110001000
32212202212222200
42131222312020
541040111404
64033520200
71011213522
oct235526610
985685880
1041332104
1121370470
1211a13060
138741c88
1456bca12
153966839
hex276ad88

41332104 has 96 divisors (see below), whose sum is σ = 127483200. Its totient is φ = 11975040.

The previous prime is 41332097. The next prime is 41332111. The reversal of 41332104 is 40123314.

41332104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41332097) and next prime (41332111).

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

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 23 ways as a sum of consecutive naturals, for example, 17082 + ... + 19350.

It is an arithmetic number, because the mean of its divisors is an integer number (1327950).

Almost surely, 241332104 is an apocalyptic number.

41332104 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 41332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63741600).

41332104 is an abundant number, since it is smaller than the sum of its proper divisors (86151096).

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

41332104 is a wasteful number, since it uses less digits than its factorization.

41332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41332104 is about 6429.0048996715. The cubic root of 41332104 is about 345.7502513475.

Adding to 41332104 its reverse (40123314), we get a palindrome (81455418).

The spelling of 41332104 in words is "forty-one million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2269 2277 3036 4538 4554 6072 6807 9076 9108 13614 18152 18216 20421 24959 27228 40842 49918 52187 54456 74877 81684 99836 104374 149754 156561 163368 199672 208748 224631 299508 313122 417496 449262 469683 574057 599016 626244 898524 939366 1148114 1252488 1722171 1797048 1878732 2296228 3444342 3757464 4592456 5166513 6888684 10333026 13777368 20666052 41332104