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5288517 = 331321961
BaseRepresentation
bin10100001011001001000101
3100221200111000
4110023021011
52323213032
6305203513
762644263
oct24131105
910850430
105288517
112a92383
121930599
131132200
149b9433
156e6e7c
hex50b245

5288517 has 48 divisors (see below), whose sum is σ = 9076800. Its totient is φ = 3032640.

The previous prime is 5288509. The next prime is 5288519. The reversal of 5288517 is 7158825.

It is not a de Polignac number, because 5288517 - 23 = 5288509 is a prime.

5288517 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86667 + ... + 86727.

It is an arithmetic number, because the mean of its divisors is an integer number (189100).

Almost surely, 25288517 is an apocalyptic number.

5288517 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5288517 is a deficient number, since it is larger than the sum of its proper divisors (3788283).

5288517 is a wasteful number, since it uses less digits than its factorization.

5288517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5288517 is about 2299.6775860977. The cubic root of 5288517 is about 174.2253323225.

It can be divided in two parts, 528 and 8517, that added together give a triangular number (9045 = T134).

The spelling of 5288517 in words is "five million, two hundred eighty-eight thousand, five hundred seventeen".

Divisors: 1 3 9 13 19 27 39 57 61 117 169 171 183 247 351 507 513 549 741 793 1159 1521 1647 2223 2379 3211 3477 4563 6669 7137 9633 10309 10431 15067 21411 28899 30927 31293 45201 86697 92781 135603 195871 278343 406809 587613 1762839 5288517