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27981096 = 233111331263
BaseRepresentation
bin110101010111…
…1010100101000
31221122120211220
41222233110220
524130343341
62435422040
7456556353
oct152572450
957576756
1027981096
1114881680
129454920
135a49080
143a0529a
1526caa66
hex1aaf528

27981096 has 128 divisors (see below), whose sum is σ = 85155840. Its totient is φ = 7545600.

The previous prime is 27981077. The next prime is 27981097. The reversal of 27981096 is 69018972.

It is a super-2 number, since 2×279810962 = 1565883466722432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27981097) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106261 + ... + 106523.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 227981096 is an apocalyptic number.

27981096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27981096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42577920).

27981096 is an abundant number, since it is smaller than the sum of its proper divisors (57174744).

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

27981096 is a wasteful number, since it uses less digits than its factorization.

27981096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 27981096 is about 5289.7160604327. The cubic root of 27981096 is about 303.5905440907.

The spelling of 27981096 in words is "twenty-seven million, nine hundred eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 263 264 286 312 341 372 403 429 526 572 682 744 789 806 858 1023 1052 1144 1209 1364 1578 1612 1716 2046 2104 2418 2728 2893 3156 3224 3419 3432 4092 4433 4836 5786 6312 6838 8153 8184 8679 8866 9672 10257 11572 13299 13676 16306 17358 17732 20514 23144 24459 26598 27352 32612 34716 35464 37609 41028 48918 53196 65224 69432 75218 82056 89683 97836 105989 106392 112827 150436 179366 195672 211978 225654 269049 300872 317967 358732 423956 451308 538098 635934 717464 847912 902616 1076196 1165879 1271868 2152392 2331758 2543736 3497637 4663516 6995274 9327032 13990548 27981096