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57129949 is a prime number
BaseRepresentation
bin1101100111101…
…1101111011101
310222111111120001
43121323233131
5104111124244
65400254301
71262411422
oct331735735
9128444501
1057129949
112a280638
1217171391
13bab3806
147831d49
1550375d4
hex367bbdd

57129949 has 2 divisors, whose sum is σ = 57129950. Its totient is φ = 57129948.

The previous prime is 57129923. The next prime is 57129967. The reversal of 57129949 is 94992175.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57002500 + 127449 = 7550^2 + 357^2 .

It is a cyclic number.

It is not a de Polignac number, because 57129949 - 215 = 57097181 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 57129899 and 57129908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57129049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28564974 + 28564975.

It is an arithmetic number, because the mean of its divisors is an integer number (28564975).

Almost surely, 257129949 is an apocalyptic number.

It is an amenable number.

57129949 is a deficient number, since it is larger than the sum of its proper divisors (1).

57129949 is an equidigital number, since it uses as much as digits as its factorization.

57129949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 46.

The square root of 57129949 is about 7558.4356185655. The cubic root of 57129949 is about 385.1423524865.

The spelling of 57129949 in words is "fifty-seven million, one hundred twenty-nine thousand, nine hundred forty-nine".