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47538077 is a prime number
BaseRepresentation
bin1011010101010…
…1111110011101
310022110011222112
42311111332131
544132204302
64414523405
71115031656
oct265257635
9108404875
1047538077
112491a074
1213b06565
139b05952
14645652d
154290552
hex2d55f9d

47538077 has 2 divisors, whose sum is σ = 47538078. Its totient is φ = 47538076.

The previous prime is 47537969. The next prime is 47538107. The reversal of 47538077 is 77083574.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46526041 + 1012036 = 6821^2 + 1006^2 .

It is a cyclic number.

It is not a de Polignac number, because 47538077 - 210 = 47537053 is a prime.

It is a super-3 number, since 3×475380773 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47538277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23769038 + 23769039.

It is an arithmetic number, because the mean of its divisors is an integer number (23769039).

Almost surely, 247538077 is an apocalyptic number.

It is an amenable number.

47538077 is a deficient number, since it is larger than the sum of its proper divisors (1).

47538077 is an equidigital number, since it uses as much as digits as its factorization.

47538077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 47538077 is about 6894.7862185858. The cubic root of 47538077 is about 362.2545674372.

The spelling of 47538077 in words is "forty-seven million, five hundred thirty-eight thousand, seventy-seven".