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57984649 is a prime number
BaseRepresentation
bin1101110100110…
…0011010001001
311001002220222121
43131030122021
5104321002044
65430451241
71302601312
oct335143211
9131086877
1057984649
112a8047a8
1217503b21
13c022858
1479b5609
155155984
hex374c689

57984649 has 2 divisors, whose sum is σ = 57984650. Its totient is φ = 57984648.

The previous prime is 57984643. The next prime is 57984673. The reversal of 57984649 is 94648975.

It is a happy number.

57984649 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., 38975049 + 19009600 = 6243^2 + 4360^2 .

It is a cyclic number.

It is not a de Polignac number, because 57984649 - 217 = 57853577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57984596 and 57984605.

It is not a weakly prime, because it can be changed into another prime (57984643) 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, 28992324 + 28992325.

It is an arithmetic number, because the mean of its divisors is an integer number (28992325).

Almost surely, 257984649 is an apocalyptic number.

It is an amenable number.

57984649 is a deficient number, since it is larger than the sum of its proper divisors (1).

57984649 is an equidigital number, since it uses as much as digits as its factorization.

57984649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 52.

The square root of 57984649 is about 7614.7651966426. The cubic root of 57984649 is about 387.0535105740.

It can be divided in two parts, 5798464 and 9, that multiplied together give a square (52186176 = 72242).

The spelling of 57984649 in words is "fifty-seven million, nine hundred eighty-four thousand, six hundred forty-nine".