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15249085 = 517261173
BaseRepresentation
bin111010001010…
…111010111101
31001200201210221
4322022322331
512400432320
61302501341
7243420655
oct72127275
931621727
1015249085
118675955
125134851
13320bb37
14204d365
1515133aa
hexe8aebd

15249085 has 24 divisors (see below), whose sum is σ = 19871496. Its totient is φ = 11228160.

The previous prime is 15249071. The next prime is 15249109. The reversal of 15249085 is 58094251.

It can be written as a sum of positive squares in 12 ways, for example, as 793881 + 14455204 = 891^2 + 3802^2 .

It is not a de Polignac number, because 15249085 - 213 = 15240893 is a prime.

It is a super-3 number, since 3×152490853 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15249085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88059 + ... + 88231.

It is an arithmetic number, because the mean of its divisors is an integer number (827979).

Almost surely, 215249085 is an apocalyptic number.

It is an amenable number.

15249085 is a deficient number, since it is larger than the sum of its proper divisors (4622411).

15249085 is a wasteful number, since it uses less digits than its factorization.

15249085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 15249085 is about 3905.0076824508. The cubic root of 15249085 is about 247.9788234173.

It can be divided in two parts, 1524 and 9085, that added together give a square (10609 = 1032).

The spelling of 15249085 in words is "fifteen million, two hundred forty-nine thousand, eighty-five".

Divisors: 1 5 17 61 85 173 289 305 865 1037 1445 2941 5185 10553 14705 17629 49997 52765 88145 179401 249985 897005 3049817 15249085