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39073131 = 331447153
BaseRepresentation
bin1001010100001…
…1010101101011
32201112010021000
42111003111223
540000320011
63513250043
7653054556
oct225032553
981463230
1039073131
1120068249
1211103923
1381309c6
14529169d
15366c356
hex254356b

39073131 has 8 divisors (see below), whose sum is σ = 57886160. Its totient is φ = 26048736.

The previous prime is 39073129. The next prime is 39073183. The reversal of 39073131 is 13137093.

39073131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39073131 - 21 = 39073129 is a prime.

It is a super-2 number, since 2×390731312 = 3053419132286322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1447153 = 39073131 / (3 + 9 + 0 + 7 + 3 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39073095 and 39073104.

It is not an unprimeable number, because it can be changed into a prime (39074131) 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 7 ways as a sum of consecutive naturals, for example, 723550 + ... + 723603.

It is an arithmetic number, because the mean of its divisors is an integer number (7235770).

Almost surely, 239073131 is an apocalyptic number.

39073131 is a deficient number, since it is larger than the sum of its proper divisors (18813029).

39073131 is a wasteful number, since it uses less digits than its factorization.

39073131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447162 (or 1447156 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 39073131 is about 6250.8504221426. The cubic root of 39073131 is about 339.3329800543.

It can be divided in two parts, 39073 and 131, that added together give a square (39204 = 1982).

The spelling of 39073131 in words is "thirty-nine million, seventy-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1447153 4341459 13024377 39073131