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42583793 = 731767109
BaseRepresentation
bin1010001001110…
…0011011110001
32222010110222112
42202130123301
541400140133
64120415105
71024646000
oct242343361
988113875
1042583793
112204591a
1212317495
138a8c915
145926c37
153b12648
hex289c6f1

42583793 has 32 divisors (see below), whose sum is σ = 53856000. Its totient is φ = 33530112.

The previous prime is 42583771. The next prime is 42583813. The reversal of 42583793 is 39738524.

42583793 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 42583793 - 28 = 42583537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42583793.

It is not an unprimeable number, because it can be changed into a prime (42586793) 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 31 ways as a sum of consecutive naturals, for example, 390623 + ... + 390731.

It is an arithmetic number, because the mean of its divisors is an integer number (1683000).

Almost surely, 242583793 is an apocalyptic number.

It is an amenable number.

42583793 is a deficient number, since it is larger than the sum of its proper divisors (11272207).

42583793 is a wasteful number, since it uses less digits than its factorization.

42583793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 42583793 is about 6525.6258703668. The cubic root of 42583793 is about 349.2057992063.

The spelling of 42583793 in words is "forty-two million, five hundred eighty-three thousand, seven hundred ninety-three".

Divisors: 1 7 17 49 67 109 119 343 469 763 833 1139 1853 3283 5341 5831 7303 7973 12971 22981 37387 51121 55811 90797 124151 357847 390677 635579 869057 2504929 6083399 42583793