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42007831 is a prime number
BaseRepresentation
bin1010000000111…
…1110100010111
32221001012220121
42200033310113
541223222311
64100212411
71020026545
oct240176427
987035817
1042007831
1121792118
121209a107
13891a708
145816d95
153a4bb71
hex280fd17

42007831 has 2 divisors, whose sum is σ = 42007832. Its totient is φ = 42007830.

The previous prime is 42007813. The next prime is 42007843. The reversal of 42007831 is 13870024.

42007831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (42007813) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42007831 - 29 = 42007319 is a prime.

It is a super-2 number, since 2×420078312 = 3529315730649122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42007796 and 42007805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42017831) 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, 21003915 + 21003916.

It is an arithmetic number, because the mean of its divisors is an integer number (21003916).

Almost surely, 242007831 is an apocalyptic number.

42007831 is a deficient number, since it is larger than the sum of its proper divisors (1).

42007831 is an equidigital number, since it uses as much as digits as its factorization.

42007831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 42007831 is about 6481.3448450148. The cubic root of 42007831 is about 347.6242669276.

Adding to 42007831 its reverse (13870024), we get a palindrome (55877855).

The spelling of 42007831 in words is "forty-two million, seven thousand, eight hundred thirty-one".