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420431444 = 222329374259
BaseRepresentation
bin11001000011110…
…100011001010100
31002022010010111222
4121003310121110
51330112301234
6105415145512
713263415436
oct3103643124
91068103458
10420431444
111a6360404
12b8975298
1369146204
143dba2656
1526d9c42e
hex190f4654

420431444 has 48 divisors (see below), whose sum is σ = 815875200. Its totient is φ = 188850816.

The previous prime is 420431423. The next prime is 420431503. The reversal of 420431444 is 444134024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96587 + ... + 100845.

It is an arithmetic number, because the mean of its divisors is an integer number (16997400).

Almost surely, 2420431444 is an apocalyptic number.

It is an amenable number.

420431444 is a deficient number, since it is larger than the sum of its proper divisors (395443756).

420431444 is a wasteful number, since it uses less digits than its factorization.

420431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 420431444 is about 20504.4249858415. The cubic root of 420431444 is about 749.1435818436.

Adding to 420431444 its reverse (444134024), we get a palindrome (864565468).

The spelling of 420431444 in words is "four hundred twenty million, four hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 23 29 37 46 58 74 92 116 148 667 851 1073 1334 1702 2146 2668 3404 4259 4292 8518 17036 24679 49358 97957 98716 123511 157583 195914 247022 315166 391828 494044 630332 2840753 3624409 4569907 5681506 7248818 9139814 11363012 14497636 18279628 105107861 210215722 420431444