Search a number
-
+
800769050449 = 449219932
BaseRepresentation
bin10111010011100011000…
…11100000011101010001
32211112220222020112212121
423221301203200131101
5101104433334103244
61411511311454241
7111565542423424
oct13516143403521
92745828215777
10800769050449
11289671286785
1210b23bb27381
135a6873b4304
142aa865559bb
1515c6aaa3c84
hexba718e0751

800769050449 has 9 divisors (see below), whose sum is σ = 802959362193. Its totient is φ = 798584704512.

The previous prime is 800769050423. The next prime is 800769050467. The reversal of 800769050449 is 944050967008.

It is a happy number.

The square root of 800769050449 is 894857.

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

It can be written as a sum of positive squares in 4 ways, for example, as 95787155025 + 704981895424 = 309495^2 + 839632^2 .

It is not a de Polignac number, because 800769050449 - 227 = 800634832721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800769050396 and 800769050405.

It is not an unprimeable number, because it can be changed into a prime (800769030449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 401789797 + ... + 401791789.

Almost surely, 2800769050449 is an apocalyptic number.

800769050449 is the 894857-th square number.

800769050449 is the 447429-th centered octagonal number.

It is an amenable number.

800769050449 is a deficient number, since it is larger than the sum of its proper divisors (2190311744).

800769050449 is an frugal number, since it uses more digits than its factorization.

800769050449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4884 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 800769050449 in words is "eight hundred billion, seven hundred sixty-nine million, fifty thousand, four hundred forty-nine".

Divisors: 1 449 1993 201601 894857 3972049 401790793 1783450001 800769050449