Search a number
-
+
5117511 = 372311123
BaseRepresentation
bin10011100001011001000111
3100121222220110
4103201121013
52302230021
6301404103
761332600
oct23413107
910558813
105117511
112985953
121869633
1310a2419
14972da7
156b1476
hex4e1647

5117511 has 24 divisors (see below), whose sum is σ = 8200704. Its totient is φ = 2827440.

The previous prime is 5117509. The next prime is 5117533. The reversal of 5117511 is 1157115.

It is a happy number.

5117511 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 5117511 - 21 = 5117509 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

5117511 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117551) 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, 3996 + ... + 5118.

It is an arithmetic number, because the mean of its divisors is an integer number (341696).

Almost surely, 25117511 is an apocalyptic number.

5117511 is a deficient number, since it is larger than the sum of its proper divisors (3083193).

5117511 is a wasteful number, since it uses less digits than its factorization.

5117511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1164 counting only the distinct ones).

The product of its digits is 175, while the sum is 21.

The square root of 5117511 is about 2262.1916364446. The cubic root of 5117511 is about 172.3268415717.

The spelling of 5117511 in words is "five million, one hundred seventeen thousand, five hundred eleven".

Divisors: 1 3 7 21 31 49 93 147 217 651 1123 1519 3369 4557 7861 23583 34813 55027 104439 165081 243691 731073 1705837 5117511