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5258715 = 3571129157
BaseRepresentation
bin10100000011110111011011
3100220011121020
4110003313123
52321234330
6304413523
762461350
oct24036733
910804536
105258715
112a71a50
1219172a3
131121787
149ac627
156dd210
hex503ddb

5258715 has 64 divisors (see below), whose sum is σ = 10920960. Its totient is φ = 2096640.

The previous prime is 5258707. The next prime is 5258723. The reversal of 5258715 is 5178525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5258707) and next prime (5258723).

It is not a de Polignac number, because 5258715 - 23 = 5258707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

5258715 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33417 + ... + 33573.

It is an arithmetic number, because the mean of its divisors is an integer number (170640).

Almost surely, 25258715 is an apocalyptic number.

5258715 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5258715 is an abundant number, since it is smaller than the sum of its proper divisors (5662245).

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

5258715 is a wasteful number, since it uses less digits than its factorization.

5258715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212.

The product of its digits is 14000, while the sum is 33.

The square root of 5258715 is about 2293.1888278116. The cubic root of 5258715 is about 173.8974491497.

The spelling of 5258715 in words is "five million, two hundred fifty-eight thousand, seven hundred fifteen".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 77 87 105 145 157 165 203 231 319 385 435 471 609 785 957 1015 1099 1155 1595 1727 2233 2355 3045 3297 4553 4785 5181 5495 6699 8635 11165 12089 13659 16485 22765 25905 31871 33495 36267 50083 60445 68295 95613 150249 159355 181335 250415 350581 478065 751245 1051743 1752905 5258715