Search a number
-
+
28583685 = 345136189
BaseRepresentation
bin110110100001…
…0011100000101
31222210012110000
41231002130011
524304134220
62500351513
7464646234
oct155023405
958705400
1028583685
1115153389
1296a5599
135bca430
143b20b1b
152799390
hex1b42705

28583685 has 80 divisors (see below), whose sum is σ = 56715120. Its totient is φ = 13685760.

The previous prime is 28583663. The next prime is 28583693. The reversal of 28583685 is 58638582.

It is a happy number.

28583685 is a `hidden beast` number, since 2 + 8 + 583 + 68 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12830724 + 15752961 = 3582^2 + 3969^2 .

It is not a de Polignac number, because 28583685 - 27 = 28583557 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (460800) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 28583685.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 321121 + ... + 321209.

It is an arithmetic number, because the mean of its divisors is an integer number (708939).

Almost surely, 228583685 is an apocalyptic number.

It is an amenable number.

28583685 is a deficient number, since it is larger than the sum of its proper divisors (28131435).

28583685 is a wasteful number, since it uses less digits than its factorization.

28583685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 28583685 is about 5346.3711992341. The cubic root of 28583685 is about 305.7544165674.

The spelling of 28583685 in words is "twenty-eight million, five hundred eighty-three thousand, six hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 61 65 81 89 117 135 183 195 267 305 351 405 445 549 585 793 801 915 1053 1157 1335 1647 1755 2379 2403 2745 3471 3965 4005 4941 5265 5429 5785 7137 7209 8235 10413 11895 12015 16287 17355 21411 24705 27145 31239 35685 36045 48861 52065 64233 70577 81435 93717 107055 146583 156195 211731 244305 321165 352885 439749 468585 635193 732915 1058655 1905579 2198745 3175965 5716737 9527895 28583685