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7913745 = 325723797
BaseRepresentation
bin11110001100000100010001
3112220001121200
4132030010101
54011214440
6441341413
7124160100
oct36140421
915801550
107913745
114515794
122797869
1318410b8
1410a0037
15a64c30
hex78c111

7913745 has 72 divisors (see below), whose sum is σ = 16556904. Its totient is φ = 3483648.

The previous prime is 7913701. The next prime is 7913749. The reversal of 7913745 is 5473197.

It is a happy number.

7913745 is digitally balanced in base 3, 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 4 ways, for example, as 1979649 + 5934096 = 1407^2 + 2436^2 .

It is not a de Polignac number, because 7913745 - 26 = 7913681 is a prime.

7913745 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7913749) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81537 + ... + 81633.

It is an arithmetic number, because the mean of its divisors is an integer number (229957).

Almost surely, 27913745 is an apocalyptic number.

It is an amenable number.

7913745 is an abundant number, since it is smaller than the sum of its proper divisors (8643159).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7913745 is a wasteful number, since it uses less digits than its factorization.

7913745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 7913745 is about 2813.1379276530. The cubic root of 7913745 is about 199.2786094401.

It can be divided in two parts, 79 and 13745, that added together give a cube (13824 = 243).

The spelling of 7913745 in words is "seven million, nine hundred thirteen thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 97 105 111 147 185 245 259 291 315 333 441 485 555 679 735 777 873 1295 1455 1665 1813 2037 2205 2331 3395 3589 3885 4365 4753 5439 6111 9065 10185 10767 11655 14259 16317 17945 23765 25123 27195 30555 32301 42777 53835 71295 75369 81585 125615 161505 175861 213885 226107 376845 527583 879305 1130535 1582749 2637915 7913745