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5286015 = 325797173
BaseRepresentation
bin10100001010100001111111
3100221120001100
4110022201333
52323123030
6305144143
762634060
oct24124177
910846040
105286015
112a90509
12192b053
131131027
149b8567
156e6360
hex50a87f

5286015 has 48 divisors (see below), whose sum is σ = 10640448. Its totient is φ = 2377728.

The previous prime is 5286011. The next prime is 5286019. The reversal of 5286015 is 5106825.

5286015 is a `hidden beast` number, since 52 + 8 + 601 + 5 = 666.

5286015 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5286011) and next prime (5286019).

It is not a de Polignac number, because 5286015 - 22 = 5286011 is a prime.

5286015 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5286015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30469 + ... + 30641.

It is an arithmetic number, because the mean of its divisors is an integer number (221676).

Almost surely, 25286015 is an apocalyptic number.

5286015 is an abundant number, since it is smaller than the sum of its proper divisors (5354433).

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

5286015 is a wasteful number, since it uses less digits than its factorization.

5286015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5286015 is about 2299.1335324422. The cubic root of 5286015 is about 174.1978526250.

The spelling of 5286015 in words is "five million, two hundred eighty-six thousand, fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 97 105 173 291 315 485 519 679 865 873 1211 1455 1557 2037 2595 3395 3633 4365 6055 6111 7785 10185 10899 16781 18165 30555 50343 54495 83905 117467 151029 251715 352401 587335 755145 1057203 1762005 5286015