Search a number
-
+
27923728 = 247235617
BaseRepresentation
bin110101010000…
…1010100010000
31221112200011011
41222201110100
524122024403
62434300304
7456230200
oct152412420
957480134
1027923728
1114842568
129427694
135a28c21
1439cc400
1526b8a6d
hex1aa1510

27923728 has 30 divisors (see below), whose sum is σ = 62937006. Its totient is φ = 11966976.

The previous prime is 27923719. The next prime is 27923743. The reversal of 27923728 is 82732972.

It can be written as a sum of positive squares in only one way, i.e., 22391824 + 5531904 = 4732^2 + 2352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17025 + ... + 18592.

Almost surely, 227923728 is an apocalyptic number.

27923728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27923728 is an abundant number, since it is smaller than the sum of its proper divisors (35013278).

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

27923728 is a wasteful number, since it uses less digits than its factorization.

27923728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35639 (or 35626 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 27923728 is about 5284.2906808767. The cubic root of 27923728 is about 303.3829241735.

The spelling of 27923728 in words is "twenty-seven million, nine hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 35617 71234 142468 249319 284936 498638 569872 997276 1745233 1994552 3490466 3989104 6980932 13961864 27923728