Search a number
-
+
5129319 = 313267151
BaseRepresentation
bin10011100100010001100111
3100122121002210
4103210101213
52303114234
6301534503
761412166
oct23442147
910577083
105129319
112993808
121874433
1310a7900
149773dd
156b4be9
hex4e4467

5129319 has 24 divisors (see below), whose sum is σ = 7565952. Its totient is φ = 3088800.

The previous prime is 5129309. The next prime is 5129321. The reversal of 5129319 is 9139215.

5129319 = T157 + T158 + ... + T325.

5129319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5129319 - 24 = 5129303 is a prime.

It is a super-2 number, since 2×51293192 = 52619826807522, which contains 22 as substring.

5129319 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5129309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33894 + ... + 34044.

It is an arithmetic number, because the mean of its divisors is an integer number (315248).

Almost surely, 25129319 is an apocalyptic number.

5129319 is a deficient number, since it is larger than the sum of its proper divisors (2436633).

5129319 is a wasteful number, since it uses less digits than its factorization.

5129319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 5129319 is about 2264.7999911692. The cubic root of 5129319 is about 172.4592804538.

The spelling of 5129319 in words is "five million, one hundred twenty-nine thousand, three hundred nineteen".

Divisors: 1 3 13 39 67 151 169 201 453 507 871 1963 2613 5889 10117 11323 25519 30351 33969 76557 131521 394563 1709773 5129319