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57335041 is a prime number
BaseRepresentation
bin1101101010110…
…1110100000001
310222212220220001
43122231310001
5104134210131
65404520001
71264224361
oct332556401
9128786801
1057335041
112a400735
1217250001
13bb55c7a
1478869a1
155078261
hex36add01

57335041 has 2 divisors, whose sum is σ = 57335042. Its totient is φ = 57335040.

The previous prime is 57335023. The next prime is 57335071. The reversal of 57335041 is 14053375.

57335041 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., 50979600 + 6355441 = 7140^2 + 2521^2 .

It is a cyclic number.

It is not a de Polignac number, because 57335041 - 217 = 57203969 is a prime.

It is not a weakly prime, because it can be changed into another prime (57335011) 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, 28667520 + 28667521.

It is an arithmetic number, because the mean of its divisors is an integer number (28667521).

Almost surely, 257335041 is an apocalyptic number.

It is an amenable number.

57335041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57335041 is an equidigital number, since it uses as much as digits as its factorization.

57335041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 57335041 is about 7571.9905573105. The cubic root of 57335041 is about 385.6026789448.

The spelling of 57335041 in words is "fifty-seven million, three hundred thirty-five thousand, forty-one".