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57149 is a prime number
BaseRepresentation
bin1101111100111101
32220101122
431330331
53312044
61120325
7325421
oct157475
986348
1057149
1139a34
12290a5
1320021
1416b81
1511dee
hexdf3d

57149 has 2 divisors, whose sum is σ = 57150. Its totient is φ = 57148.

The previous prime is 57143. The next prime is 57163. The reversal of 57149 is 94175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 24025 = 182^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 57149 - 28 = 56893 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57149.

It is not a weakly prime, because it can be changed into another prime (57143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28574 + 28575.

It is an arithmetic number, because the mean of its divisors is an integer number (28575).

257149 is an apocalyptic number.

It is an amenable number.

57149 is a deficient number, since it is larger than the sum of its proper divisors (1).

57149 is an equidigital number, since it uses as much as digits as its factorization.

57149 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 26.

The square root of 57149 is about 239.0585702291. The cubic root of 57149 is about 38.5185158590.

Adding to 57149 its sum of digits (26), we get a palindrome (57175).

The spelling of 57149 in words is "fifty-seven thousand, one hundred forty-nine".