Search a number
-
+
27499290 = 23572131439
BaseRepresentation
bin110100011100…
…1101100011010
31220202002221020
41220321230122
524014434130
62421223310
7452511600
oct150715432
956662836
1027499290
1114582695
129261b36
13590a990
14391b870
152632e10
hex1a39b1a

27499290 has 96 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 5798016.

The previous prime is 27499273. The next prime is 27499301. The reversal of 27499290 is 9299472.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 18391 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 227499290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27499290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

27499290 is an abundant number, since it is smaller than the sum of its proper divisors (55237350).

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

27499290 is a wasteful number, since it uses less digits than its factorization.

27499290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 27499290 is about 5243.9765445700. The cubic root of 27499290 is about 301.8379391596.

The spelling of 27499290 in words is "twenty-seven million, four hundred ninety-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1439 1470 1911 2730 2878 3185 3822 4317 6370 7195 8634 9555 10073 14390 18707 19110 20146 21585 30219 37414 43170 50365 56121 60438 70511 93535 100730 112242 130949 141022 151095 187070 211533 261898 280605 302190 352555 392847 423066 561210 654745 705110 785694 916643 1057665 1309490 1833286 1964235 2115330 2749929 3928470 4583215 5499858 9166430 13749645 27499290