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4056000465 = 3511229263293
BaseRepresentation
bin1111000111000001…
…1010011111010001
3101110200002011122110
43301300122133101
531301314003330
61510250055533
7202340302146
oct36160323721
911420064573
104056000465
1117a1563200
1295241a5a9
134c83cb09a
142a69703cd
1518b137db0
hexf1c1a7d1

4056000465 has 96 divisors (see below), whose sum is σ = 7432508160. Its totient is φ = 1885058560.

The previous prime is 4056000451. The next prime is 4056000467. The reversal of 4056000465 is 5640006504.

It is not a de Polignac number, because 4056000465 - 28 = 4056000209 is a prime.

It is a super-2 number, since 2×40560004652 = 32902279544160432450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4056000467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13842859 + ... + 13843151.

It is an arithmetic number, because the mean of its divisors is an integer number (77421960).

Almost surely, 24056000465 is an apocalyptic number.

It is an amenable number.

4056000465 is a deficient number, since it is larger than the sum of its proper divisors (3376507695).

4056000465 is a wasteful number, since it uses less digits than its factorization.

4056000465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4056000465 is about 63686.7369630444. The cubic root of 4056000465 is about 1594.7746808152.

Adding to 4056000465 its reverse (5640006504), we get a palindrome (9696006969).

The spelling of 4056000465 in words is "four billion, fifty-six million, four hundred sixty-five", and thus it is an aban number.

Divisors: 1 3 5 11 15 29 33 55 87 121 145 165 263 293 319 363 435 605 789 879 957 1315 1465 1595 1815 2893 3223 3509 3945 4395 4785 7627 8497 8679 9669 10527 14465 16115 17545 22881 25491 31823 35453 38135 42485 43395 48345 52635 77059 83897 93467 95469 106359 114405 127455 159115 177265 231177 251691 280401 385295 419485 467335 477345 531795 847649 922867 1028137 1155885 1258455 1402005 2234711 2542947 2768601 3084411 4238245 4614335 5140685 6704133 9324139 11173555 12714735 13843005 15422055 24581821 27972417 33520665 46620695 73745463 122909105 139862085 270400031 368727315 811200093 1352000155 4056000465