Search a number
-
+
27693450 = 23252194179
BaseRepresentation
bin110100110100…
…1000110001010
31221002222021100
41221221012022
524042142300
62425322230
7454250631
oct151510612
957088240
1027693450
11146a5554
129336376
135978175
14396c518
152670700
hex1a6918a

27693450 has 144 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 6739200.

The previous prime is 27693439. The next prime is 27693467. The reversal of 27693450 is 5439672.

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 71 ways as a sum of consecutive naturals, for example, 350511 + ... + 350589.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 227693450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27693450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

27693450 is an abundant number, since it is smaller than the sum of its proper divisors (53551350).

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

27693450 is a wasteful number, since it uses less digits than its factorization.

27693450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 27693450 is about 5262.4566506528. The cubic root of 27693450 is about 302.5466540068.

The spelling of 27693450 in words is "twenty-seven million, six hundred ninety-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 41 45 50 57 75 79 82 90 95 114 123 150 158 171 190 205 225 237 246 285 342 369 395 410 450 474 475 570 615 711 738 779 790 855 950 1025 1185 1230 1422 1425 1501 1558 1710 1845 1975 2050 2337 2370 2850 3002 3075 3239 3555 3690 3895 3950 4275 4503 4674 5925 6150 6478 7011 7110 7505 7790 8550 9006 9225 9717 11685 11850 13509 14022 15010 16195 17775 18450 19434 19475 22515 23370 27018 29151 32390 35055 35550 37525 38950 45030 48585 58302 58425 61541 67545 70110 75050 80975 97170 112575 116850 123082 135090 145755 161950 175275 184623 225150 242925 291510 307705 337725 350550 369246 485850 553869 615410 675450 728775 923115 1107738 1457550 1538525 1846230 2769345 3077050 4615575 5538690 9231150 13846725 27693450