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27940328 = 23133753137
BaseRepresentation
bin110101010010…
…1010111101000
31221120111220222
41222211113220
524123042303
62434505212
7456326453
oct152452750
957514828
1027940328
1114853a89
129435208
135a33650
1439d449a
1526bd938
hex1aa55e8

27940328 has 64 divisors (see below), whose sum is σ = 59466960. Its totient is φ = 12220416.

The previous prime is 27940327. The next prime is 27940351. The reversal of 27940328 is 82304972.

It can be written as a sum of positive squares in 8 ways, for example, as 19166884 + 8773444 = 4378^2 + 2962^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27940321) 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 15 ways as a sum of consecutive naturals, for example, 203876 + ... + 204012.

Almost surely, 227940328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27940328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29733480).

27940328 is an abundant number, since it is smaller than the sum of its proper divisors (31526632).

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

27940328 is a wasteful number, since it uses less digits than its factorization.

27940328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 27940328 is about 5285.8611408171. The cubic root of 27940328 is about 303.4430302705.

The spelling of 27940328 in words is "twenty-seven million, nine hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 37 52 53 74 104 106 137 148 212 274 296 424 481 548 689 962 1096 1378 1781 1924 1961 2756 3562 3848 3922 5069 5512 7124 7261 7844 10138 14248 14522 15688 20276 25493 29044 40552 50986 58088 65897 94393 101972 131794 188786 203944 263588 268657 377572 527176 537314 755144 1074628 2149256 3492541 6985082 13970164 27940328