Search a number
-
+
57252673 is a prime number
BaseRepresentation
bin1101101001100…
…1101101000001
310222201201220101
43122121231001
5104124041143
65403042401
71263432262
oct332315501
9128651811
1057252673
112a354865
1217210401
13bb2762a
147864969
15505db4d
hex3699b41

57252673 has 2 divisors, whose sum is σ = 57252674. Its totient is φ = 57252672.

The previous prime is 57252647. The next prime is 57252677. The reversal of 57252673 is 37625275.

57252673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50027329 + 7225344 = 7073^2 + 2688^2 .

It is a cyclic number.

It is not a de Polignac number, because 57252673 - 29 = 57252161 is a prime.

It is not a weakly prime, because it can be changed into another prime (57252677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28626336 + 28626337.

It is an arithmetic number, because the mean of its divisors is an integer number (28626337).

Almost surely, 257252673 is an apocalyptic number.

It is an amenable number.

57252673 is a deficient number, since it is larger than the sum of its proper divisors (1).

57252673 is an equidigital number, since it uses as much as digits as its factorization.

57252673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 37.

The square root of 57252673 is about 7566.5496099609. The cubic root of 57252673 is about 385.4179371035.

The spelling of 57252673 in words is "fifty-seven million, two hundred fifty-two thousand, six hundred seventy-three".