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470759809 = 13216692
BaseRepresentation
bin11100000011110…
…011100110000001
31012210211002001111
4130003303212001
51431003303214
6114414003321
714444251402
oct3403634601
91183732044
10470759809
112218058a3
121117a6541
13766b7c00
14467439a9
152b4de5c4
hex1c0f3981

470759809 has 9 divisors (see below), whose sum is σ = 510063273. Its totient is φ = 434287152.

The previous prime is 470759803. The next prime is 470759857. The reversal of 470759809 is 908957074.

It is a happy number.

The square root of 470759809 is 21697.

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 57532225 + 413227584 = 7585^2 + 20328^2 .

It is not a de Polignac number, because 470759809 - 25 = 470759777 is a prime.

It is a super-2 number, since 2×4707598092 = 443229595539432962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (470759803) 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, 281227 + ... + 282895.

It is an arithmetic number, because the mean of its divisors is an integer number (56673697).

Almost surely, 2470759809 is an apocalyptic number.

470759809 is the 21697-th square number.

470759809 is the 10849-th centered octagonal number.

It is an amenable number.

470759809 is a deficient number, since it is larger than the sum of its proper divisors (39303464).

470759809 is an frugal number, since it uses more digits than its factorization.

470759809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The cubic root of 470759809 is about 777.9167557857.

Multiplying 470759809 by its sum of digits (49), we get a square (23067230641 = 1518792).

It can be divided in two parts, 4707 and 59809, that added together give a square (64516 = 2542).

The spelling of 470759809 in words is "four hundred seventy million, seven hundred fifty-nine thousand, eight hundred nine".

Divisors: 1 13 169 1669 21697 282061 2785561 36212293 470759809