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57111629 is a prime number
BaseRepresentation
bin1101100111011…
…1010001001101
310222110120102112
43121313101031
5104110033004
65400033405
71262304131
oct331672115
9128416375
1057111629
112a2688a3
1217162865
13baa8383
1478293c1
155031e6e
hex367744d

57111629 has 2 divisors, whose sum is σ = 57111630. Its totient is φ = 57111628.

The previous prime is 57111617. The next prime is 57111631. The reversal of 57111629 is 92611175.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53509225 + 3602404 = 7315^2 + 1898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57111629 is a prime.

Together with 57111631, 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 = 57111595 and 57111604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57111529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28555814 + 28555815.

It is an arithmetic number, because the mean of its divisors is an integer number (28555815).

Almost surely, 257111629 is an apocalyptic number.

It is an amenable number.

57111629 is a deficient number, since it is larger than the sum of its proper divisors (1).

57111629 is an equidigital number, since it uses as much as digits as its factorization.

57111629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 32.

The square root of 57111629 is about 7557.2236304082. The cubic root of 57111629 is about 385.1011799062.

The spelling of 57111629 in words is "fifty-seven million, one hundred eleven thousand, six hundred twenty-nine".