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42464144 = 2413731933
BaseRepresentation
bin1010000111111…
…1001110010000
32221220101212002
42201333032100
541332323034
64114053132
71023640112
oct241771620
987811762
1042464144
1121a73a38
121227a1a8
138a4a318
1458d53b2
153adbe7e
hex287f390

42464144 has 20 divisors (see below), whose sum is σ = 82376796. Its totient is φ = 21205632.

The previous prime is 42464117. The next prime is 42464153. The reversal of 42464144 is 44146424.

42464144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37356544 + 5107600 = 6112^2 + 2260^2 .

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 3 ways as a sum of consecutive naturals, for example, 21002 + ... + 22934.

Almost surely, 242464144 is an apocalyptic number.

It is an amenable number.

42464144 is a deficient number, since it is larger than the sum of its proper divisors (39912652).

42464144 is a wasteful number, since it uses less digits than its factorization.

42464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3308 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 42464144 is about 6516.4517952640. The cubic root of 42464144 is about 348.8784343013.

The spelling of 42464144 in words is "forty-two million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 1373 1933 2746 3866 5492 7732 10984 15464 21968 30928 2654009 5308018 10616036 21232072 42464144