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41221818 = 23311292393
BaseRepresentation
bin1001110100111…
…1111010111010
32212120021201000
42131033322322
541023044233
64031305430
71010244141
oct235177272
985507630
1041221818
11212a5620
121197b276
138703a11
145690758
153943d13
hex274feba

41221818 has 64 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 12055680.

The previous prime is 41221801. The next prime is 41221823. The reversal of 41221818 is 81812214.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41221791 and 41221800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16030 + ... + 18422.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 241221818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

41221818 is an abundant number, since it is smaller than the sum of its proper divisors (62198982).

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

41221818 is a wasteful number, since it uses less digits than its factorization.

41221818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2438 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 41221818 is about 6420.4219487507. The cubic root of 41221818 is about 345.4424568883.

The spelling of 41221818 in words is "forty-one million, two hundred twenty-one thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2393 2871 4786 5742 7179 8613 14358 17226 21537 26323 43074 52646 64611 69397 78969 129222 138794 157938 208191 236907 416382 473814 624573 710721 763367 1249146 1421442 1526734 1873719 2290101 3747438 4580202 6870303 13740606 20610909 41221818