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39100009 = 134372
BaseRepresentation
bin1001010100100…
…1111001101001
32201120111010111
42111021321221
540002200014
63514014321
7653226124
oct225117151
981514114
1039100009
1120086463
12111173a1
138140000
14529b3bb
1536752c4
hex2549e69

39100009 has 15 divisors (see below), whose sum is σ = 43533987. Its totient is φ = 35116848.

The previous prime is 39100007. The next prime is 39100031. The reversal of 39100009 is 90000193.

39100009 = T302 + T303 + ... + T639.

The square root of 39100009 is 6253.

It is a perfect power (a square), and thus also a powerful number.

39100009 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 7 ways, for example, as 31416025 + 7683984 = 5605^2 + 2772^2 .

It is not a de Polignac number, because 39100009 - 21 = 39100007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39100001) 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 14 ways as a sum of consecutive naturals, for example, 1056739 + ... + 1056775.

Almost surely, 239100009 is an apocalyptic number.

39100009 is the 6253-rd square number.

39100009 is the 3127-th centered octagonal number.

It is an amenable number.

39100009 is a deficient number, since it is larger than the sum of its proper divisors (4433978).

39100009 is an frugal number, since it uses more digits than its factorization.

39100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

The cubic root of 39100009 is about 339.4107700947.

The spelling of 39100009 in words is "thirty-nine million, one hundred thousand, nine".

Divisors: 1 13 37 169 481 1369 2197 6253 17797 28561 81289 231361 1056757 3007693 39100009