Search a number
-
+
39132461 is a prime number
BaseRepresentation
bin1001010101000…
…1110100101101
32201122010122102
42111101310231
540004214321
63514424445
7653422544
oct225216455
981563572
1039132461
11200a8885
1211132125
138151a04
1452a915b
15367ec0b
hex2551d2d

39132461 has 2 divisors, whose sum is σ = 39132462. Its totient is φ = 39132460.

The previous prime is 39132449. The next prime is 39132469. The reversal of 39132461 is 16423193.

39132461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38502025 + 630436 = 6205^2 + 794^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39132461 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39132469) 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, 19566230 + 19566231.

It is an arithmetic number, because the mean of its divisors is an integer number (19566231).

Almost surely, 239132461 is an apocalyptic number.

It is an amenable number.

39132461 is a deficient number, since it is larger than the sum of its proper divisors (1).

39132461 is an equidigital number, since it uses as much as digits as its factorization.

39132461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 39132461 is about 6255.5943762364. The cubic root of 39132461 is about 339.5046448596.

It can be divided in two parts, 39132 and 461, that added together give a palindrome (39593).

The spelling of 39132461 in words is "thirty-nine million, one hundred thirty-two thousand, four hundred sixty-one".