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42400849 is a prime number
BaseRepresentation
bin1010000110111…
…1110001010001
32221210012000211
42201233301101
541323311344
64112444121
71023254431
oct241576121
987705024
1042400849
1121a30427
1212249641
138a2757a
1458ba2c1
153ac8334
hex286fc51

42400849 has 2 divisors, whose sum is σ = 42400850. Its totient is φ = 42400848.

The previous prime is 42400829. The next prime is 42400861. The reversal of 42400849 is 94800424.

42400849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41370624 + 1030225 = 6432^2 + 1015^2 .

It is a cyclic number.

It is not a de Polignac number, because 42400849 - 211 = 42398801 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42400849.

It is not a weakly prime, because it can be changed into another prime (42400819) 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 as a sum of consecutive naturals, namely, 21200424 + 21200425.

It is an arithmetic number, because the mean of its divisors is an integer number (21200425).

Almost surely, 242400849 is an apocalyptic number.

It is an amenable number.

42400849 is a deficient number, since it is larger than the sum of its proper divisors (1).

42400849 is an equidigital number, since it uses as much as digits as its factorization.

42400849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 42400849 is about 6511.5934301828. The cubic root of 42400849 is about 348.7050076634.

The spelling of 42400849 in words is "forty-two million, four hundred thousand, eight hundred forty-nine".