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42583411 = 1337223397
BaseRepresentation
bin1010001001110…
…0010101110011
32222010110110101
42202130111303
541400132121
64120413231
71024644613
oct242342563
988113411
1042583411
1122045602
1212317217
138a8c6b0
145926a43
153b12491
hex289c573

42583411 has 16 divisors (see below), whose sum is σ = 47428864. Its totient is φ = 37977984.

The previous prime is 42583381. The next prime is 42583421. The reversal of 42583411 is 11438524.

42583411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42583411 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42583411.

It is not an unprimeable number, because it can be changed into a prime (42583421) 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 15 ways as a sum of consecutive naturals, for example, 107065 + ... + 107461.

It is an arithmetic number, because the mean of its divisors is an integer number (2964304).

Almost surely, 242583411 is an apocalyptic number.

42583411 is a deficient number, since it is larger than the sum of its proper divisors (4845453).

42583411 is a wasteful number, since it uses less digits than its factorization.

42583411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its digits is 3840, while the sum is 28.

The square root of 42583411 is about 6525.5966010779. The cubic root of 42583411 is about 349.2047550139.

The spelling of 42583411 in words is "forty-two million, five hundred eighty-three thousand, four hundred eleven".

Divisors: 1 13 37 223 397 481 2899 5161 8251 14689 88531 107263 190957 1150903 3275647 42583411