Search a number
-
+
4936829749 is a prime number
BaseRepresentation
bin1001001100100001…
…00000101100110101
3110202001111221021021
410212100200230311
540102312022444
62133513221141
7233224234435
oct44620405465
913661457237
104936829749
112103791295
12b594017b1
13608a41947
1434b93a2c5
151dd629584
hex126420b35

4936829749 has 2 divisors, whose sum is σ = 4936829750. Its totient is φ = 4936829748.

The previous prime is 4936829707. The next prime is 4936829771. The reversal of 4936829749 is 9479286394.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4836228849 + 100600900 = 69543^2 + 10030^2 .

It is a cyclic number.

It is not a de Polignac number, because 4936829749 - 27 = 4936829621 is a prime.

It is a super-2 number, since 2×49368297492 = 48744575941222806002, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4936821749) 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, 2468414874 + 2468414875.

It is an arithmetic number, because the mean of its divisors is an integer number (2468414875).

Almost surely, 24936829749 is an apocalyptic number.

It is an amenable number.

4936829749 is a deficient number, since it is larger than the sum of its proper divisors (1).

4936829749 is an equidigital number, since it uses as much as digits as its factorization.

4936829749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23514624, while the sum is 61.

The square root of 4936829749 is about 70262.5771588262. The cubic root of 4936829749 is about 1702.7440974597.

The spelling of 4936829749 in words is "four billion, nine hundred thirty-six million, eight hundred twenty-nine thousand, seven hundred forty-nine".