Search a number
-
+
413191829 is a prime number
BaseRepresentation
bin11000101000001…
…100111010010101
31001210111022122002
4120220030322111
51321234114304
6105000045045
713145033621
oct3050147225
91053438562
10413191829
111a2266156
12b6463785
13677acc0b
143cc3a181
152641c31e
hex18a0ce95

413191829 has 2 divisors, whose sum is σ = 413191830. Its totient is φ = 413191828.

The previous prime is 413191787. The next prime is 413191837. The reversal of 413191829 is 928191314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413186929 + 4900 = 20327^2 + 70^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413191829 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413191792 and 413191801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413190829) 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, 206595914 + 206595915.

It is an arithmetic number, because the mean of its divisors is an integer number (206595915).

Almost surely, 2413191829 is an apocalyptic number.

It is an amenable number.

413191829 is a deficient number, since it is larger than the sum of its proper divisors (1).

413191829 is an equidigital number, since it uses as much as digits as its factorization.

413191829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 38.

The square root of 413191829 is about 20327.1205289879. The cubic root of 413191829 is about 744.8187051913.

The spelling of 413191829 in words is "four hundred thirteen million, one hundred ninety-one thousand, eight hundred twenty-nine".