Search a number
-
+
27142248 = 2337161561
BaseRepresentation
bin110011110001…
…0100001101000
31220001222011110
41213202201220
523422022443
62405430320
7446463630
oct147424150
956058143
1027142248
1114359411
12910b3a0
135814303
1438676c0
1525b2233
hex19e2868

27142248 has 32 divisors (see below), whose sum is σ = 77549760. Its totient is φ = 7754880.

The previous prime is 27142243. The next prime is 27142253. The reversal of 27142248 is 84224172.

It is an interprime number because it is at equal distance from previous prime (27142243) and next prime (27142253).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27142243) 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 7 ways as a sum of consecutive naturals, for example, 80613 + ... + 80948.

It is an arithmetic number, because the mean of its divisors is an integer number (2423430).

Almost surely, 227142248 is an apocalyptic number.

27142248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27142248 is an abundant number, since it is smaller than the sum of its proper divisors (50407512).

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

27142248 is a wasteful number, since it uses less digits than its factorization.

27142248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161577 (or 161573 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 27142248 is about 5209.8222618435. The cubic root of 27142248 is about 300.5259219261.

The spelling of 27142248 in words is "twenty-seven million, one hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 161561 323122 484683 646244 969366 1130927 1292488 1938732 2261854 3392781 3877464 4523708 6785562 9047416 13571124 27142248