Search a number
-
+
57416641 is a prime number
BaseRepresentation
bin1101101100000…
…1101111000001
311000001001211021
43123001233001
5104144313031
65410345441
71265014312
oct333015701
9130031737
1057416641
112a456a77
121728b281
13bb84159
1478a8609
155092511
hex36c1bc1

57416641 has 2 divisors, whose sum is σ = 57416642. Its totient is φ = 57416640.

The previous prime is 57416621. The next prime is 57416669. The reversal of 57416641 is 14661475.

57416641 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., 46294416 + 11122225 = 6804^2 + 3335^2 .

It is a cyclic number.

It is not a de Polignac number, because 57416641 - 25 = 57416609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57416597 and 57416606.

It is not a weakly prime, because it can be changed into another prime (57416621) 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, 28708320 + 28708321.

It is an arithmetic number, because the mean of its divisors is an integer number (28708321).

Almost surely, 257416641 is an apocalyptic number.

It is an amenable number.

57416641 is a deficient number, since it is larger than the sum of its proper divisors (1).

57416641 is an equidigital number, since it uses as much as digits as its factorization.

57416641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 34.

The square root of 57416641 is about 7577.3769208084. The cubic root of 57416641 is about 385.7855238661.

The spelling of 57416641 in words is "fifty-seven million, four hundred sixteen thousand, six hundred forty-one".