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57129049 is a prime number
BaseRepresentation
bin1101100111101…
…1100001011001
310222111110022201
43121323201121
5104111112144
65400250201
71262405665
oct331734131
9128443281
1057129049
112a27a99a
1217170961
13bab3293
1478318a5
1550371d4
hex367b859

57129049 has 2 divisors, whose sum is σ = 57129050. Its totient is φ = 57129048.

The previous prime is 57129047. The next prime is 57129077. The reversal of 57129049 is 94092175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 11323225 = 6768^2 + 3365^2 .

It is a cyclic number.

It is not a de Polignac number, because 57129049 - 21 = 57129047 is a prime.

Together with 57129047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 57128999 and 57129017.

It is not a weakly prime, because it can be changed into another prime (57129041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28564524 + 28564525.

It is an arithmetic number, because the mean of its divisors is an integer number (28564525).

Almost surely, 257129049 is an apocalyptic number.

It is an amenable number.

57129049 is a deficient number, since it is larger than the sum of its proper divisors (1).

57129049 is an equidigital number, since it uses as much as digits as its factorization.

57129049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 57129049 is about 7558.3760822018. The cubic root of 57129049 is about 385.1403300217.

The spelling of 57129049 in words is "fifty-seven million, one hundred twenty-nine thousand, forty-nine".