Search a number
-
+
8028164745 = 35517974007
BaseRepresentation
bin1110111101000010…
…00001001010001001
3202201111102000200000
413132201001022021
5112420202232440
63404343233213
7402642163056
oct73641011211
922644360600
108028164745
11344a764aa7
121680748809
139ac324953
1456231a02d
1531ec10730
hex1de841289

8028164745 has 96 divisors (see below), whose sum is σ = 15441124608. Its totient is φ = 3987283968.

The previous prime is 8028164723. The next prime is 8028164747. The reversal of 8028164745 is 5474618208.

It is not a de Polignac number, because 8028164745 - 25 = 8028164713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8028164745.

It is not an unprimeable number, because it can be changed into a prime (8028164747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2001532 + ... + 2005538.

It is an arithmetic number, because the mean of its divisors is an integer number (160845048).

Almost surely, 28028164745 is an apocalyptic number.

8028164745 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8028164745 is a deficient number, since it is larger than the sum of its proper divisors (7412959863).

8028164745 is a wasteful number, since it uses less digits than its factorization.

8028164745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8028164745 is about 89600.0264787907. The cubic root of 8028164745 is about 2002.3443131077.

The spelling of 8028164745 in words is "eight billion, twenty-eight million, one hundred sixty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 97 135 153 243 255 291 405 459 485 765 873 1215 1377 1455 1649 2295 2619 4007 4131 4365 4947 6885 7857 8245 12021 13095 14841 20035 20655 23571 24735 36063 39285 44523 60105 68119 74205 108189 117855 133569 180315 204357 222615 324567 340595 388679 400707 540945 613071 667845 973701 1021785 1166037 1622835 1839213 1943395 2003535 3065355 3498111 4868505 5517639 5830185 6607543 9196065 10494333 16552917 17490555 19822629 27588195 31482999 33037715 52471665 59467887 82764585 94448997 99113145 157414995 178403661 297339435 472244985 535210983 892018305 1605632949 2676054915 8028164745