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424000444 = 22715142873
BaseRepresentation
bin11001010001011…
…011101110111100
31002112211110021011
4121101123232330
51332021003234
6110023445004
713335641620
oct3121335674
91075743234
10424000444
111a837889a
12b9bb6764
1369ac584a
1440451180
1527354b64
hex1945bbbc

424000444 has 12 divisors (see below), whose sum is σ = 848000944. Its totient is φ = 181714464.

The previous prime is 424000441. The next prime is 424000459. The reversal of 424000444 is 444000424.

424000444 is an admirable number.

424000444 is a modest number, since divided by 444 gives 424 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7571409 + ... + 7571464.

Almost surely, 2424000444 is an apocalyptic number.

It is an amenable number.

424000444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424000444 is a wasteful number, since it uses less digits than its factorization.

424000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15142884 (or 15142882 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 424000444 is about 20591.2710632443. The cubic root of 424000444 is about 751.2574130754.

Adding to 424000444 its reverse (444000424), we get a palindrome (868000868).

The spelling of 424000444 in words is "four hundred twenty-four million, four hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 15142873 30285746 60571492 106000111 212000222 424000444