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42177431 is a prime number
BaseRepresentation
bin1010000011100…
…1001110010111
32221100211120002
42200321032113
541244134211
64104001515
71021334162
oct240711627
987324502
1042177431
112189858a
121216029b
13897997a
14585cad9
153a8203b
hex2839397

42177431 has 2 divisors, whose sum is σ = 42177432. Its totient is φ = 42177430.

The previous prime is 42177409. The next prime is 42177433. The reversal of 42177431 is 13477124.

42177431 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42177431 is a prime.

It is a super-2 number, since 2×421774312 = 3557871371519522, which contains 22 as substring.

Together with 42177433, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 42177394 and 42177403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42177433) 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, 21088715 + 21088716.

It is an arithmetic number, because the mean of its divisors is an integer number (21088716).

Almost surely, 242177431 is an apocalyptic number.

42177431 is a deficient number, since it is larger than the sum of its proper divisors (1).

42177431 is an equidigital number, since it uses as much as digits as its factorization.

42177431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 29.

The square root of 42177431 is about 6494.4153701469. The cubic root of 42177431 is about 348.0914648163.

The spelling of 42177431 in words is "forty-two million, one hundred seventy-seven thousand, four hundred thirty-one".