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5093136 = 2432113313
BaseRepresentation
bin10011011011011100010000
3100120202110200
4103123130100
52300440021
6301055200
761201536
oct23333420
910522420
105093136
112969604
121857500
1310942b9
14968156
156a9126
hex4db710

5093136 has 60 divisors (see below), whose sum is σ = 14425788. Its totient is φ = 1677312.

The previous prime is 5093111. The next prime is 5093167. The reversal of 5093136 is 6313905.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 5035536 = 240^2 + 2244^2 .

It is an Ulam number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16116 + ... + 16428.

Almost surely, 25093136 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 5093136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212894).

5093136 is an abundant number, since it is smaller than the sum of its proper divisors (9332652).

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

5093136 is a wasteful number, since it uses less digits than its factorization.

5093136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5093136 is about 2256.7977312998. The cubic root of 5093136 is about 172.0528051317.

The spelling of 5093136 in words is "five million, ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 313 339 452 626 678 904 939 1017 1252 1356 1808 1878 2034 2504 2712 2817 3756 4068 5008 5424 5634 7512 8136 11268 15024 16272 22536 35369 45072 70738 106107 141476 212214 282952 318321 424428 565904 636642 848856 1273284 1697712 2546568 5093136