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39813601 is a prime number
BaseRepresentation
bin1001011111100…
…0000111100001
32202220201222211
42113320013201
540143013401
63541202121
7662260432
oct227700741
982821884
1039813601
1120523603
1211400341
13832ca59
145405489
153766951
hex25f81e1

39813601 has 2 divisors, whose sum is σ = 39813602. Its totient is φ = 39813600.

The previous prime is 39813589. The next prime is 39813617. The reversal of 39813601 is 10631893.

39813601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30813601 + 9000000 = 5551^2 + 3000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39813601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (39813661) 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 as a sum of consecutive naturals, namely, 19906800 + 19906801.

It is an arithmetic number, because the mean of its divisors is an integer number (19906801).

Almost surely, 239813601 is an apocalyptic number.

It is an amenable number.

39813601 is a deficient number, since it is larger than the sum of its proper divisors (1).

39813601 is an equidigital number, since it uses as much as digits as its factorization.

39813601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 39813601 is about 6309.8019778754. The cubic root of 39813601 is about 341.4631323426.

The spelling of 39813601 in words is "thirty-nine million, eight hundred thirteen thousand, six hundred one".