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41642406 = 23213251709
BaseRepresentation
bin1001111011011…
…0100110100110
32220100122122100
42132312212212
541130024111
64044312530
71013645301
oct236664646
986318570
1041642406
1121562613
1211b42746
1388202a0
14575db38
1539c8756
hex27b69a6

41642406 has 48 divisors (see below), whose sum is σ = 97690320. Its totient is φ = 12744000.

The previous prime is 41642399. The next prime is 41642407. The reversal of 41642406 is 60424614.

41642406 is a `hidden beast` number, since 416 + 4 + 240 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41642406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41642407) 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, 58380 + ... + 59088.

It is an arithmetic number, because the mean of its divisors is an integer number (2035215).

Almost surely, 241642406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41642406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48845160).

41642406 is an abundant number, since it is smaller than the sum of its proper divisors (56047914).

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

41642406 is a wasteful number, since it uses less digits than its factorization.

41642406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 41642406 is about 6453.0927468928. The cubic root of 41642406 is about 346.6133384849.

The spelling of 41642406 in words is "forty-one million, six hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 251 502 709 753 1418 1506 2127 2259 3263 4254 4518 6381 6526 9217 9789 12762 18434 19578 27651 29367 55302 58734 82953 165906 177959 355918 533877 1067754 1601631 2313467 3203262 4626934 6940401 13880802 20821203 41642406