Search a number
-
+
5086312 = 2371123359
BaseRepresentation
bin10011011001110001101000
3100120102002221
4103121301220
52300230222
6301003424
761142620
oct23316150
910512087
105086312
112964470
121853574
13109116a
14965880
156a70c7
hex4d9c68

5086312 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1890240.

The previous prime is 5086309. The next prime is 5086313. The reversal of 5086312 is 2136805.

It is a happy number.

It is a super-5 number, since 5×50863125 (a number of 35 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5086313) 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 15 ways as a sum of consecutive naturals, for example, 13989 + ... + 14347.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 25086312 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 5086312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

5086312 is an abundant number, since it is smaller than the sum of its proper divisors (7355288).

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

5086312 is a wasteful number, since it uses less digits than its factorization.

5086312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 5086312 is about 2255.2853477997. The cubic root of 5086312 is about 171.9759295684.

The spelling of 5086312 in words is "five million, eighty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 359 506 616 644 718 1012 1288 1436 1771 2024 2513 2872 3542 3949 5026 7084 7898 8257 10052 14168 15796 16514 20104 27643 31592 33028 55286 57799 66056 90827 110572 115598 181654 221144 231196 363308 462392 635789 726616 1271578 2543156 5086312