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57838129 is a prime number
BaseRepresentation
bin1101110010100…
…0101000110001
311000211110222221
43130220220301
5104301310004
65423401041
71301421166
oct334505061
9130743887
1057838129
112a714708
1217453181
13bca0c5b
14797806d
155127354
hex3728a31

57838129 has 2 divisors, whose sum is σ = 57838130. Its totient is φ = 57838128.

The previous prime is 57838127. The next prime is 57838133. The reversal of 57838129 is 92183875.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 7711729 = 7080^2 + 2777^2 .

It is a cyclic number.

It is not a de Polignac number, because 57838129 - 21 = 57838127 is a prime.

Together with 57838127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57838127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28919064 + 28919065.

It is an arithmetic number, because the mean of its divisors is an integer number (28919065).

Almost surely, 257838129 is an apocalyptic number.

It is an amenable number.

57838129 is a deficient number, since it is larger than the sum of its proper divisors (1).

57838129 is an equidigital number, since it uses as much as digits as its factorization.

57838129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 43.

The square root of 57838129 is about 7605.1383287880. The cubic root of 57838129 is about 386.7272235549.

The spelling of 57838129 in words is "fifty-seven million, eight hundred thirty-eight thousand, one hundred twenty-nine".