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39445441 = 723721757
BaseRepresentation
bin1001011001111…
…0001111000001
32202020000222021
42112132033001
540044223231
63525241441
7656165200
oct226361701
982200867
1039445441
11202a1a42
1211263281
1382312c9
14534b237
1536e2811
hex259e3c1

39445441 has 12 divisors (see below), whose sum is σ = 47127828. Its totient is φ = 32895072.

The previous prime is 39445397. The next prime is 39445447. The reversal of 39445441 is 14454493.

39445441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35820225 + 3625216 = 5985^2 + 1904^2 .

It is not a de Polignac number, because 39445441 - 27 = 39445313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39445397 and 39445406.

It is not an unprimeable number, because it can be changed into a prime (39445447) 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 11 ways as a sum of consecutive naturals, for example, 9066 + ... + 12691.

It is an arithmetic number, because the mean of its divisors is an integer number (3927319).

Almost surely, 239445441 is an apocalyptic number.

It is an amenable number.

39445441 is a deficient number, since it is larger than the sum of its proper divisors (7682387).

39445441 is a wasteful number, since it uses less digits than its factorization.

39445441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21808 (or 21801 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 39445441 is about 6280.5605641535. The cubic root of 39445441 is about 340.4073577660.

The spelling of 39445441 in words is "thirty-nine million, four hundred forty-five thousand, four hundred forty-one".

Divisors: 1 7 37 49 259 1813 21757 152299 805009 1066093 5635063 39445441