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41106416 = 2413229863
BaseRepresentation
bin1001110011001…
…1101111110000
32212100102101212
42130303233300
541010401131
64025015252
71006253531
oct234635760
985312355
1041106416
112122694a
1211924528
138693330
145660688
15391ea2b
hex2733bf0

41106416 has 40 divisors (see below), whose sum is σ = 86244480. Its totient is φ = 18867456.

The previous prime is 41106397. The next prime is 41106419. The reversal of 41106416 is 61460114.

It is a junction number, because it is equal to n+sod(n) for n = 41106391 and 41106400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41106419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47201 + ... + 48063.

It is an arithmetic number, because the mean of its divisors is an integer number (2156112).

Almost surely, 241106416 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 41106416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240).

41106416 is an abundant number, since it is smaller than the sum of its proper divisors (45138064).

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

41106416 is a wasteful number, since it uses less digits than its factorization.

41106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 41106416 is about 6411.4285459638. The cubic root of 41106416 is about 345.1197959670.

The spelling of 41106416 in words is "forty-one million, one hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 863 916 1726 1832 2977 3452 3664 5954 6904 11219 11908 13808 22438 23816 44876 47632 89752 179504 197627 395254 790508 1581016 2569151 3162032 5138302 10276604 20553208 41106416