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42583813 is a prime number
BaseRepresentation
bin1010001001110…
…0011100000101
32222010111000021
42202130130011
541400140223
64120415141
71024646026
oct242343405
988114007
1042583813
1122045938
12123174b1
138a8c92c
145926c4d
153b1265d
hex289c705

42583813 has 2 divisors, whose sum is σ = 42583814. Its totient is φ = 42583812.

The previous prime is 42583771. The next prime is 42583819. The reversal of 42583813 is 31838524.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39917124 + 2666689 = 6318^2 + 1633^2 .

It is a cyclic number.

It is not a de Polignac number, because 42583813 - 29 = 42583301 is a prime.

It is a super-2 number, since 2×425838132 = 3626762259237938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42583819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21291906 + 21291907.

It is an arithmetic number, because the mean of its divisors is an integer number (21291907).

Almost surely, 242583813 is an apocalyptic number.

It is an amenable number.

42583813 is a deficient number, since it is larger than the sum of its proper divisors (1).

42583813 is an equidigital number, since it uses as much as digits as its factorization.

42583813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 34.

The square root of 42583813 is about 6525.6274027866. The cubic root of 42583813 is about 349.2058538758.

The spelling of 42583813 in words is "forty-two million, five hundred eighty-three thousand, eight hundred thirteen".