Search a number
-
+
27940392 = 23322811381
BaseRepresentation
bin110101010010…
…1011000101000
31221120112000100
41222211120220
524123043032
62434505400
7456326604
oct152453050
957515010
1027940392
1114854037
129435260
135a3369c
1439d4504
1526bd97c
hex1aa5628

27940392 has 48 divisors (see below), whose sum is σ = 75996180. Its totient is φ = 9273600.

The previous prime is 27940391. The next prime is 27940399. The reversal of 27940392 is 29304972.

It can be written as a sum of positive squares in 2 ways, for example, as 27815076 + 125316 = 5274^2 + 354^2 .

It is a super-2 number, since 2×279403922 = 1561331010227328, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (27940391) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19542 + ... + 20922.

Almost surely, 227940392 is an apocalyptic number.

It is an amenable number.

27940392 is an abundant number, since it is smaller than the sum of its proper divisors (48055788).

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

27940392 is a wasteful number, since it uses less digits than its factorization.

27940392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 27940392 is about 5285.8671946995. The cubic root of 27940392 is about 303.4432619588.

The spelling of 27940392 in words is "twenty-seven million, nine hundred forty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 562 843 1124 1381 1686 2248 2529 2762 3372 4143 5058 5524 6744 8286 10116 11048 12429 16572 20232 24858 33144 49716 99432 388061 776122 1164183 1552244 2328366 3104488 3492549 4656732 6985098 9313464 13970196 27940392