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5086536 = 23371317137
BaseRepresentation
bin10011011001110101001000
3100120102102020
4103121311020
52300232121
6301004440
761143360
oct23316510
910512366
105086536
112964654
121853720
1310912b0
149659a0
156a71c6
hex4d9d48

5086536 has 128 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 1253376.

The previous prime is 5086531. The next prime is 5086541. The reversal of 5086536 is 6356805.

It is an interprime number because it is at equal distance from previous prime (5086531) and next prime (5086541).

It is a junction number, because it is equal to n+sod(n) for n = 5086497 and 5086506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086531) 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 31 ways as a sum of consecutive naturals, for example, 37060 + ... + 37196.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

Almost surely, 25086536 is an apocalyptic number.

5086536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

5086536 is an abundant number, since it is smaller than the sum of its proper divisors (11605944).

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

5086536 is a wasteful number, since it uses less digits than its factorization.

5086536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5086536 is about 2255.3350083746. The cubic root of 5086536 is about 171.9784541246.

The spelling of 5086536 in words is "five million, eighty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 137 156 168 182 204 221 238 273 274 312 357 364 408 411 442 476 546 548 663 714 728 822 884 952 959 1092 1096 1326 1428 1547 1644 1768 1781 1918 2184 2329 2652 2856 2877 3094 3288 3562 3836 4641 4658 5304 5343 5754 6188 6987 7124 7672 9282 9316 10686 11508 12376 12467 13974 14248 16303 18564 18632 21372 23016 24934 27948 30277 32606 37128 37401 42744 48909 49868 55896 60554 65212 74802 90831 97818 99736 121108 130424 149604 181662 195636 211939 242216 299208 363324 391272 423878 635817 726648 847756 1271634 1695512 2543268 5086536