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541838106 = 23310034039
BaseRepresentation
bin100000010010111…
…100101100011010
31101202120020011000
4200102330230122
52102202304411
6125433245430
716266355635
oct4022745432
91352506130
10541838106
11258942a97
12131563876
1388343484
1451d66c1c
153287e956
hex204bcb1a

541838106 has 16 divisors (see below), whose sum is σ = 1204084800. Its totient is φ = 180612684.

The previous prime is 541838069. The next prime is 541838107. The reversal of 541838106 is 601838145.

541838106 is a `hidden beast` number, since 541 + 8 + 3 + 8 + 106 = 666.

It is a super-2 number, since 2×5418381062 = 587177066227334472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541838107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5016966 + ... + 5017073.

It is an arithmetic number, because the mean of its divisors is an integer number (75255300).

Almost surely, 2541838106 is an apocalyptic number.

541838106 is an abundant number, since it is smaller than the sum of its proper divisors (662246694).

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

541838106 is a wasteful number, since it uses less digits than its factorization.

541838106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10034050 (or 10034044 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 541838106 is about 23277.4162225965. The cubic root of 541838106 is about 815.2481992125.

The spelling of 541838106 in words is "five hundred forty-one million, eight hundred thirty-eight thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 10034039 20068078 30102117 60204234 90306351 180612702 270919053 541838106