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5082168 = 2337132179
BaseRepresentation
bin10011011000110000111000
3100120012102110
4103120300320
52300112133
6300532320
761124550
oct23306070
910505373
105082168
112961343
1218510a0
13108c300
14964160
156a5c63
hex4d8c38

5082168 has 96 divisors (see below), whose sum is σ = 15811200. Its totient is φ = 1332864.

The previous prime is 5082137. The next prime is 5082169. The reversal of 5082168 is 8612805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28303 + ... + 28481.

It is an arithmetic number, because the mean of its divisors is an integer number (164700).

Almost surely, 25082168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905600).

5082168 is an abundant number, since it is smaller than the sum of its proper divisors (10729032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5082168 is a wasteful number, since it uses less digits than its factorization.

5082168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5082168 is about 2254.3664298423. The cubic root of 5082168 is about 171.9292119017.

It can be divided in two parts, 5082 and 168, that multiplied together give a square (853776 = 9242).

The spelling of 5082168 in words is "five million, eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 179 182 273 312 338 358 364 507 537 546 676 716 728 1014 1074 1092 1183 1253 1352 1432 2028 2148 2184 2327 2366 2506 3549 3759 4056 4296 4654 4732 5012 6981 7098 7518 9308 9464 10024 13962 14196 15036 16289 18616 27924 28392 30072 30251 32578 48867 55848 60502 65156 90753 97734 121004 130312 181506 195468 211757 242008 363012 390936 423514 635271 726024 847028 1270542 1694056 2541084 5082168