Search a number
-
+
57151037 is a prime number
BaseRepresentation
bin1101101000000…
…0111000111101
310222112120111002
43122000320331
5104112313122
65400540045
71262530046
oct332007075
9128476432
1057151037
112a295469
1217181625
13bac02a8
1478398cd
15503d992
hex3680e3d

57151037 has 2 divisors, whose sum is σ = 57151038. Its totient is φ = 57151036.

The previous prime is 57151033. The next prime is 57151063. The reversal of 57151037 is 73015175.

57151037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33860761 + 23290276 = 5819^2 + 4826^2 .

It is a cyclic number.

It is not a de Polignac number, because 57151037 - 22 = 57151033 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57151033) 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, 28575518 + 28575519.

It is an arithmetic number, because the mean of its divisors is an integer number (28575519).

Almost surely, 257151037 is an apocalyptic number.

It is an amenable number.

57151037 is a deficient number, since it is larger than the sum of its proper divisors (1).

57151037 is an equidigital number, since it uses as much as digits as its factorization.

57151037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3675, while the sum is 29.

The square root of 57151037 is about 7559.8304875176. The cubic root of 57151037 is about 385.1897350062.

The spelling of 57151037 in words is "fifty-seven million, one hundred fifty-one thousand, thirty-seven".