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39860442 = 23219294019
BaseRepresentation
bin1001100000001…
…1100011011010
32210000010020200
42120003203122
540201013232
63542203030
7662544126
oct230034332
983003220
1039860442
1120555816
1211423476
13834817b
145418586
15377577c
hex26038da

39860442 has 48 divisors (see below), whose sum is σ = 94068000. Its totient is φ = 12150432.

The previous prime is 39860369. The next prime is 39860453. The reversal of 39860442 is 24406893.

It is a happy number.

39860442 is a `hidden beast` number, since 3 + 9 + 8 + 604 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 39860397 and 39860406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7909 + ... + 11927.

It is an arithmetic number, because the mean of its divisors is an integer number (1959750).

Almost surely, 239860442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39860442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47034000).

39860442 is an abundant number, since it is smaller than the sum of its proper divisors (54207558).

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

39860442 is a wasteful number, since it uses less digits than its factorization.

39860442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 39860442 is about 6313.5126514485. The cubic root of 39860442 is about 341.5969911726.

The spelling of 39860442 in words is "thirty-nine million, eight hundred sixty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4019 4959 8038 9918 12057 24114 36171 72342 76361 116551 152722 229083 233102 349653 458166 687249 699306 1048959 1374498 2097918 2214469 4428938 6643407 13286814 19930221 39860442