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41166126 = 23237113547
BaseRepresentation
bin1001110100001…
…0010100101110
32212110110022100
42131002110232
541014304001
64030155530
71006622601
oct235022456
985413270
1041166126
11212677a1
1211952ba6
1386b4571
145678338
153932586
hex274252e

41166126 has 48 divisors (see below), whose sum is σ = 92583504. Its totient is φ = 13208832.

The previous prime is 41166079. The next prime is 41166127. The reversal of 41166126 is 62166114.

41166126 is a `hidden beast` number, since 41 + 1 + 6 + 612 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41166126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41166127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74985 + ... + 75531.

It is an arithmetic number, because the mean of its divisors is an integer number (1928823).

Almost surely, 241166126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41166126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46291752).

41166126 is an abundant number, since it is smaller than the sum of its proper divisors (51417378).

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

41166126 is a wasteful number, since it uses less digits than its factorization.

41166126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 702 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 41166126 is about 6416.0833847449. The cubic root of 41166126 is about 345.2868188254.

The spelling of 41166126 in words is "forty-one million, one hundred sixty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 111 113 222 226 333 339 547 666 678 1017 1094 1641 2034 3282 4181 4923 8362 9846 12543 20239 25086 37629 40478 60717 61811 75258 121434 123622 182151 185433 364302 370866 556299 1112598 2287007 4574014 6861021 13722042 20583063 41166126