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423824569 = 721721732
BaseRepresentation
bin11001010000110…
…000110010111001
31002112111112000021
4121100300302321
51331444341234
6110020010441
713334310100
oct3120606271
91075445007
10423824569
111a8268743
12b9b30a21
1369a6378c
1440407037
152731c9b4
hex19430cb9

423824569 has 27 divisors (see below), whose sum is σ = 526772397. Its totient is φ = 339932544.

The previous prime is 423824567. The next prime is 423824573. The reversal of 423824569 is 965428324.

The square root of 423824569 is 20587.

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 207734569 + 216090000 = 14413^2 + 14700^2 .

It is not a de Polignac number, because 423824569 - 21 = 423824567 is a prime.

It is a super-2 number, since 2×4238245692 = 359254530576071522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (423824567) 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 26 ways as a sum of consecutive naturals, for example, 2449767 + ... + 2449939.

Almost surely, 2423824569 is an apocalyptic number.

423824569 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

423824569 is the 20587-th square number.

423824569 is the 10294-th centered octagonal number.

It is an amenable number.

423824569 is a deficient number, since it is larger than the sum of its proper divisors (102947828).

423824569 is an equidigital number, since it uses as much as digits as its factorization.

423824569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The cubic root of 423824569 is about 751.1535250784.

The spelling of 423824569 in words is "four hundred twenty-three million, eight hundred twenty-four thousand, five hundred sixty-nine".

Divisors: 1 7 17 49 119 173 289 833 1211 2023 2941 8477 14161 20587 29929 49997 144109 209503 349979 508793 1466521 2449853 3561551 8649481 24930857 60546367 423824569