[go: up one dir, main page]

Search a number
-
+
65050632 = 2332472409
BaseRepresentation
bin1111100000100…
…1100000001000
311112101220200200
43320021200020
5113123110012
610242132200
71416630663
oct370114010
9145356620
1065050632
11337a0559
1219951060
1310627aca
1488d46da
155a9e3dc
hex3e09808

65050632 has 72 divisors (see below), whose sum is σ = 180447150. Its totient is φ = 21170304.

The previous prime is 65050631. The next prime is 65050651. The reversal of 65050632 is 23605056.

65050632 is a `hidden beast` number, since 650 + 5 + 0 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42068196 + 22982436 = 6486^2 + 4794^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 65050596 and 65050605.

It is not an unprimeable number, because it can be changed into a prime (65050631) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 158844 + ... + 159252.

Almost surely, 265050632 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 65050632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90223575).

65050632 is an abundant number, since it is smaller than the sum of its proper divisors (115396518).

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

65050632 is a wasteful number, since it uses less digits than its factorization.

65050632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 65050632 is about 8065.3972003864. The cubic root of 65050632 is about 402.1769474232.

Adding to 65050632 its reverse (23605056), we get a palindrome (88655688).

The spelling of 65050632 in words is "sixty-five million, fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 409 423 564 818 846 1128 1227 1636 1692 2209 2454 3272 3384 3681 4418 4908 6627 7362 8836 9816 13254 14724 17672 19223 19881 26508 29448 38446 39762 53016 57669 76892 79524 115338 153784 159048 173007 230676 346014 461352 692028 903481 1384056 1806962 2710443 3613924 5420886 7227848 8131329 10841772 16262658 21683544 32525316 65050632