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57350693 is a prime number
BaseRepresentation
bin1101101011000…
…1101000100101
310222220201100202
43122301220211
5104140210233
65405120245
71264321121
oct332615045
9128821322
1057350693
112a411474
1217259085
13bb6012a
14788c581
15507cbe8
hex36b1a25

57350693 has 2 divisors, whose sum is σ = 57350694. Its totient is φ = 57350692.

The previous prime is 57350681. The next prime is 57350731. The reversal of 57350693 is 39605375.

57350693 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (57350731) can be obtained adding 57350693 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57259489 + 91204 = 7567^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 57350693 - 214 = 57334309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57350663) 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, 28675346 + 28675347.

It is an arithmetic number, because the mean of its divisors is an integer number (28675347).

Almost surely, 257350693 is an apocalyptic number.

It is an amenable number.

57350693 is a deficient number, since it is larger than the sum of its proper divisors (1).

57350693 is an equidigital number, since it uses as much as digits as its factorization.

57350693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85050, while the sum is 38.

The square root of 57350693 is about 7573.0240327098. The cubic root of 57350693 is about 385.6377645510.

The spelling of 57350693 in words is "fifty-seven million, three hundred fifty thousand, six hundred ninety-three".