Search a number
-
+
2826942561 = 323724792
BaseRepresentation
bin1010100001111111…
…1011100001100001
321022000101120011100
42220133323201201
521242144130221
61144303105013
7130024421022
oct25037734141
97260346140
102826942561
11122080a873
1266a8a2169
133608a16a1
141cb638c49
151182ac926
hexa87fb861

2826942561 has 27 divisors (see below), whose sum is σ = 4205485011. Its totient is φ = 1829864304.

The previous prime is 2826942551. The next prime is 2826942589. The reversal of 2826942561 is 1652496282.

The square root of 2826942561 is 53169.

It is a perfect power (a square), and thus also a powerful number.

2826942561 is a `hidden beast` number, since 2 + 82 + 6 + 9 + 4 + 2 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2529587025 + 297355536 = 50295^2 + 17244^2 .

It is not a de Polignac number, because 2826942561 - 211 = 2826940513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2826942551) 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 26 ways as a sum of consecutive naturals, for example, 5901520 + ... + 5901998.

Almost surely, 22826942561 is an apocalyptic number.

2826942561 is the 53169-th square number.

2826942561 is the 26585-th centered octagonal number.

It is an amenable number.

2826942561 is a deficient number, since it is larger than the sum of its proper divisors (1378542450).

2826942561 is an frugal number, since it uses more digits than its factorization.

2826942561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 2826942561 is about 1413.9660917802.

The spelling of 2826942561 in words is "two billion, eight hundred twenty-six million, nine hundred forty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 37 111 333 479 1369 1437 4107 4311 12321 17723 53169 159507 229441 655751 688323 1967253 2064969 5901759 8489317 25467951 76403853 314104729 942314187 2826942561