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41227116 = 22371932543
BaseRepresentation
bin1001110101000…
…1001101101100
32212120112222020
42131101031230
541023231431
64031350140
71010265450
oct235211554
985515866
1041227116
11212a95a7
1211982350
138706258
145692660
153945696
hex275136c

41227116 has 48 divisors (see below), whose sum is σ = 110552064. Its totient is φ = 11713536.

The previous prime is 41227097. The next prime is 41227127. The reversal of 41227116 is 61172214.

41227116 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 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 15 ways as a sum of consecutive naturals, for example, 14941 + ... + 17483.

It is an arithmetic number, because the mean of its divisors is an integer number (2303168).

Almost surely, 241227116 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 41227116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55276032).

41227116 is an abundant number, since it is smaller than the sum of its proper divisors (69324948).

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

41227116 is a wasteful number, since it uses less digits than its factorization.

41227116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2748 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 41227116 is about 6420.8345252000. The cubic root of 41227116 is about 345.4572554895.

The spelling of 41227116 in words is "forty-one million, two hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2543 2702 4053 5086 5404 7629 8106 10172 15258 16212 17801 30516 35602 53403 71204 106806 213612 490799 981598 1472397 1963196 2944794 3435593 5889588 6871186 10306779 13742372 20613558 41227116