Search a number
-
+
8089768272 = 2436126910271
BaseRepresentation
bin1111000100011000…
…00001000101010000
3202212210022210211010
413202030001011100
5113031440041042
63414423450520
7404320616145
oct74214010520
922783283733
108089768272
113481510703
1216992b6a40
139bc013741
1456a5943cc
1532532d59c
hex1e2301150

8089768272 has 80 divisors (see below), whose sum is σ = 21322206720. Its totient is φ = 2642265600.

The previous prime is 8089768259. The next prime is 8089768289. The reversal of 8089768272 is 2728679808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 782497 + ... + 792767.

It is an arithmetic number, because the mean of its divisors is an integer number (266527584).

Almost surely, 28089768272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8089768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661103360).

8089768272 is an abundant number, since it is smaller than the sum of its proper divisors (13232438448).

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

8089768272 is a wasteful number, since it uses less digits than its factorization.

8089768272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10606 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The square root of 8089768272 is about 89943.1391046588. The cubic root of 8089768272 is about 2007.4528821097.

The spelling of 8089768272 in words is "eight billion, eighty-nine million, seven hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 269 366 488 538 732 807 976 1076 1464 1614 2152 2928 3228 4304 6456 10271 12912 16409 20542 30813 32818 41084 49227 61626 65636 82168 98454 123252 131272 164336 196908 246504 262544 393816 493008 626531 787632 1253062 1879593 2506124 2762899 3759186 5012248 5525798 7518372 8288697 10024496 11051596 15036744 16577394 22103192 30073488 33154788 44206384 66309576 132619152 168536839 337073678 505610517 674147356 1011221034 1348294712 2022442068 2696589424 4044884136 8089768272