Search a number
-
+
2457641 is a prime number
BaseRepresentation
bin1001011000000000101001
311121212020202
421120000221
51112121031
6124401545
726614064
oct11300051
94555222
102457641
11142950a
129a62b5
13680834
1447d8db
153382cb
hex258029

2457641 has 2 divisors, whose sum is σ = 2457642. Its totient is φ = 2457640.

The previous prime is 2457617. The next prime is 2457647. The reversal of 2457641 is 1467542.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2131600 + 326041 = 1460^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 2457641 - 210 = 2456617 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2457647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1228820 + 1228821.

It is an arithmetic number, because the mean of its divisors is an integer number (1228821).

22457641 is an apocalyptic number.

It is an amenable number.

2457641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2457641 is an equidigital number, since it uses as much as digits as its factorization.

2457641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 29.

The square root of 2457641 is about 1567.6865120297. The cubic root of 2457641 is about 134.9499768942.

Subtracting from 2457641 its reverse (1467542), we obtain a palindrome (990099).

The spelling of 2457641 in words is "two million, four hundred fifty-seven thousand, six hundred forty-one".