Search a number
-
+
464531809 = 7230792
BaseRepresentation
bin11011101100000…
…011000101100001
31012101002122211211
4123230003011201
51422410004214
6114032310121
714340312100
oct3354030541
91171078754
10464531809
11219241695
1210b6a2341
13753171c1
14459a2037
152abae0c4
hex1bb03161

464531809 has 9 divisors (see below), whose sum is σ = 540549297. Its totient is φ = 398040804.

The previous prime is 464531797. The next prime is 464531849. The reversal of 464531809 is 908135464.

The square root of 464531809 is 21553.

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

It is not a de Polignac number, because 464531809 - 217 = 464400737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464531849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149332 + ... + 152410.

It is an arithmetic number, because the mean of its divisors is an integer number (60061033).

Almost surely, 2464531809 is an apocalyptic number.

464531809 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

464531809 is the 21553-rd square number.

464531809 is the 10777-th centered octagonal number.

It is an amenable number.

464531809 is a deficient number, since it is larger than the sum of its proper divisors (76017488).

464531809 is an frugal number, since it uses more digits than its factorization.

464531809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 464531809 is about 774.4709863248.

The spelling of 464531809 in words is "four hundred sixty-four million, five hundred thirty-one thousand, eight hundred nine".

Divisors: 1 7 49 3079 21553 150871 9480241 66361687 464531809