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57978301 is a prime number
BaseRepresentation
bin1101110100101…
…0110110111101
311001002121021111
43131022312331
5104320301201
65430402021
71302543643
oct335126675
9131077244
1057978301
112a7aaa57
1217500311
13c01c9b4
1479b3193
155153b51
hex374adbd

57978301 has 2 divisors, whose sum is σ = 57978302. Its totient is φ = 57978300.

The previous prime is 57978289. The next prime is 57978341. The reversal of 57978301 is 10387975.

It is an a-pointer prime, because the next prime (57978341) can be obtained adding 57978301 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56475225 + 1503076 = 7515^2 + 1226^2 .

It is a cyclic number.

It is not a de Polignac number, because 57978301 - 29 = 57977789 is a prime.

It is a super-2 number, since 2×579783012 = 6722966773693202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57978341) 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, 28989150 + 28989151.

It is an arithmetic number, because the mean of its divisors is an integer number (28989151).

Almost surely, 257978301 is an apocalyptic number.

It is an amenable number.

57978301 is a deficient number, since it is larger than the sum of its proper divisors (1).

57978301 is an equidigital number, since it uses as much as digits as its factorization.

57978301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 57978301 is about 7614.3483634517. The cubic root of 57978301 is about 387.0393855403.

The spelling of 57978301 in words is "fifty-seven million, nine hundred seventy-eight thousand, three hundred one".