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6400305249 = 3131929297841
BaseRepresentation
bin1011111010111110…
…01110100001100001
3121112001022012020120
411331133032201201
5101101434231444
62535032430453
7314414461032
oct57537164141
917461265216
106400305249
112794895078
1212a7548429
137accb6290
1444a052a89
15276d5bb19
hex17d7ce861

6400305249 has 32 divisors (see below), whose sum is σ = 10007491200. Its totient is φ = 3602672640.

The previous prime is 6400305217. The next prime is 6400305269. The reversal of 6400305249 is 9425030046.

6400305249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6400305249 - 25 = 6400305217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6400305209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127432 + ... + 170409.

It is an arithmetic number, because the mean of its divisors is an integer number (312734100).

Almost surely, 26400305249 is an apocalyptic number.

It is an amenable number.

6400305249 is a deficient number, since it is larger than the sum of its proper divisors (3607185951).

6400305249 is a wasteful number, since it uses less digits than its factorization.

6400305249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297905.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6400305249 is about 80001.9077835023. The cubic root of 6400305249 is about 1856.6650504831.

The spelling of 6400305249 in words is "six billion, four hundred million, three hundred five thousand, two hundred forty-nine".

Divisors: 1 3 13 19 29 39 57 87 247 377 551 741 1131 1653 7163 21489 297841 893523 3871933 5658979 8637389 11615799 16976937 25912167 73566727 112286057 164110391 220700181 336858171 492331173 2133435083 6400305249