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39114642 = 2372233571
BaseRepresentation
bin1001010100110…
…1011110010010
32201121020012110
42111031132102
540003132032
63514210150
7653316600
oct225153622
981536173
1039114642
1120096456
1211123956
138146878
1452a2870
1536797cc
hex254d792

39114642 has 48 divisors (see below), whose sum is σ = 91552032. Its totient is φ = 11108160.

The previous prime is 39114631. The next prime is 39114679. The reversal of 39114642 is 24641193.

39114642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 68217 + ... + 68787.

It is an arithmetic number, because the mean of its divisors is an integer number (1907334).

Almost surely, 239114642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39114642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45776016).

39114642 is an abundant number, since it is smaller than the sum of its proper divisors (52437390).

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

39114642 is a wasteful number, since it uses less digits than its factorization.

39114642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 39114642 is about 6254.1699689087. The cubic root of 39114642 is about 339.4531057913.

The spelling of 39114642 in words is "thirty-nine million, one hundred fourteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 233 294 466 571 699 1142 1398 1631 1713 3262 3426 3997 4893 7994 9786 11417 11991 22834 23982 27979 34251 55958 68502 83937 133043 167874 266086 399129 798258 931301 1862602 2793903 5587806 6519107 13038214 19557321 39114642