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10044405 = 35571181
BaseRepresentation
bin100110010100…
…001111110101
3200220022100000
4212110033311
510032410110
6555141513
7151242660
oct46241765
920808300
1010044405
115740568
123444899
132108b47
1414966d7
15d361c0
hex9943f5

10044405 has 48 divisors (see below), whose sum is σ = 20651904. Its totient is φ = 4587840.

The previous prime is 10044383. The next prime is 10044421. The reversal of 10044405 is 50444001.

It is not a de Polignac number, because 10044405 - 25 = 10044373 is a prime.

It is a plaindrome in base 12.

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 47 ways as a sum of consecutive naturals, for example, 7915 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (430248).

Almost surely, 210044405 is an apocalyptic number.

10044405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10044405 is an abundant number, since it is smaller than the sum of its proper divisors (10607499).

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

10044405 is an equidigital number, since it uses as much as digits as its factorization.

10044405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10044405 is about 3169.2909301609. The cubic root of 10044405 is about 215.7618903919.

Adding to 10044405 its reverse (50444001), we get a palindrome (60488406).

The spelling of 10044405 in words is "ten million, forty-four thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1181 1215 1701 2835 3543 5905 8267 8505 10629 17715 24801 31887 41335 53145 74403 95661 124005 159435 223209 286983 372015 478305 669627 1116045 1434915 2008881 3348135 10044405