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431423505 = 3259798837
BaseRepresentation
bin11001101101110…
…000000000010001
31010001210120210100
4121231300000101
51340421023010
6110450523013
713456016322
oct3155600021
91101716710
10431423505
11201588957
12100596469
136b4c44a6
1441424449
1527d1e2c0
hex19b70011

431423505 has 24 divisors (see below), whose sum is σ = 755517672. Its totient is φ = 227718144.

The previous prime is 431423453. The next prime is 431423507. The reversal of 431423505 is 505324134.

It can be written as a sum of positive squares in 4 ways, for example, as 114832656 + 316590849 = 10716^2 + 17793^2 .

It is not a de Polignac number, because 431423505 - 212 = 431419409 is a prime.

It is a super-2 number, since 2×4314235052 = 372252481332970050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431423507) 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 23 ways as a sum of consecutive naturals, for example, 45054 + ... + 53783.

It is an arithmetic number, because the mean of its divisors is an integer number (31479903).

Almost surely, 2431423505 is an apocalyptic number.

431423505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431423505 is a deficient number, since it is larger than the sum of its proper divisors (324094167).

431423505 is a wasteful number, since it uses less digits than its factorization.

431423505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98945 (or 98942 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 431423505 is about 20770.7367466828. The cubic root of 431423505 is about 755.6162125666.

Adding to 431423505 its reverse (505324134), we get a palindrome (936747639).

The spelling of 431423505 in words is "four hundred thirty-one million, four hundred twenty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 98837 296511 494185 889533 1482555 4447665 9587189 28761567 47935945 86284701 143807835 431423505