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42630049 = 7211139569
BaseRepresentation
bin1010001010011…
…1101110100001
32222012211102201
42202213232201
541403130144
64121413201
71025230600
oct242475641
988184381
1042630049
1122077650
121233a201
138aa79a7
145939a37
153b211d4
hex28a7ba1

42630049 has 24 divisors (see below), whose sum is σ = 54583200. Its totient is φ = 32921280.

The previous prime is 42630019. The next prime is 42630083. The reversal of 42630049 is 94003624.

42630049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42630049 - 27 = 42629921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42629999 and 42630026.

It is not an unprimeable number, because it can be changed into a prime (42630019) 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 23 ways as a sum of consecutive naturals, for example, 74637 + ... + 75205.

It is an arithmetic number, because the mean of its divisors is an integer number (2274300).

Almost surely, 242630049 is an apocalyptic number.

42630049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42630049 is a deficient number, since it is larger than the sum of its proper divisors (11953151).

42630049 is a wasteful number, since it uses less digits than its factorization.

42630049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 42630049 is about 6529.1690895550. The cubic root of 42630049 is about 349.3321932890.

The spelling of 42630049 in words is "forty-two million, six hundred thirty thousand, forty-nine".

Divisors: 1 7 11 49 77 139 539 569 973 1529 3983 6259 6811 10703 27881 43813 74921 79091 306691 553637 870001 3875459 6090007 42630049