Search a number
-
+
764467201 = 4326432
BaseRepresentation
bin101101100100001…
…101100000000001
31222021110221212001
4231210031200001
53031200422301
6203505104001
724641602231
oct5544154001
91867427761
10764467201
11362581583
12194028001
13c24c1774
1473759cc1
15471a8c01
hex2d90d801

764467201 has 9 divisors (see below), whose sum is σ = 783878049. Its totient is φ = 745527636.

The previous prime is 764467157. The next prime is 764467213. The reversal of 764467201 is 102764467.

The square root of 764467201 is 27649.

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

It is not a de Polignac number, because 764467201 - 211 = 764465153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (764467241) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1188586 + ... + 1189228.

It is an arithmetic number, because the mean of its divisors is an integer number (87097561).

Almost surely, 2764467201 is an apocalyptic number.

764467201 is the 27649-th square number.

764467201 is the 13825-th centered octagonal number.

It is an amenable number.

764467201 is a deficient number, since it is larger than the sum of its proper divisors (19410848).

764467201 is an frugal number, since it uses more digits than its factorization.

764467201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The cubic root of 764467201 is about 914.3650530376.

The spelling of 764467201 in words is "seven hundred sixty-four million, four hundred sixty-seven thousand, two hundred one".

Divisors: 1 43 643 1849 27649 413449 1188907 17778307 764467201