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5006313 = 331317839
BaseRepresentation
bin10011000110001111101001
3100102100101000
4103012033221
52240200223
6255145213
760360444
oct23061751
910370330
105006313
11290a354
121815209
131063920
1494465b
1568d543
hex4c63e9

5006313 has 32 divisors (see below), whose sum is σ = 8467200. Its totient is φ = 2896128.

The previous prime is 5006297. The next prime is 5006317. The reversal of 5006313 is 3136005.

5006313 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5006313 - 24 = 5006297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5006317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5548 + ... + 6386.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 25006313 is an apocalyptic number.

It is an amenable number.

5006313 is a deficient number, since it is larger than the sum of its proper divisors (3460887).

5006313 is a wasteful number, since it uses less digits than its factorization.

5006313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 5006313 is about 2237.4791619141. The cubic root of 5006313 is about 171.0695315880.

The spelling of 5006313 in words is "five million, six thousand, three hundred thirteen".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 839 1989 2517 5967 7551 10907 14263 22653 32721 42789 98163 128367 185419 294489 385101 556257 1668771 5006313