Base | Representation |
---|---|
bin | 110101000100… |
… | …0110001111000 |
3 | 1221100120021210 |
4 | 1222020301320 |
5 | 24110320344 |
6 | 2432203120 |
7 | 455331162 |
oct | 152106170 |
9 | 57316253 |
10 | 27823224 |
11 | 14784000 |
12 | 93994a0 |
13 | 59c2260 |
14 | 39a3932 |
15 | 2698db9 |
hex | 1a88c78 |
27823224 has 128 divisors (see below), whose sum is σ = 83623680. Its totient is φ = 7666560.
The previous prime is 27823207. The next prime is 27823241. The reversal of 27823224 is 42232872.
It is an interprime number because it is at equal distance from previous prime (27823207) and next prime (27823241).
Its product of digits (10752) is a multiple of the sum of its prime divisors (96).
It is a junction number, because it is equal to n+sod(n) for n = 27823191 and 27823200.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 415239 + ... + 415305.
It is an arithmetic number, because the mean of its divisors is an integer number (653310).
Almost surely, 227823224 is an apocalyptic number.
27823224 is a gapful number since it is divisible by the number (24) 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 27823224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811840).
27823224 is an abundant number, since it is smaller than the sum of its proper divisors (55800456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27823224 is a wasteful number, since it uses less digits than its factorization.
27823224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122 (or 96 counting only the distinct ones).
The product of its digits is 10752, while the sum is 30.
The square root of 27823224 is about 5274.7724121520. The cubic root of 27823224 is about 303.0185046808.
It can be divided in two parts, 2782 and 3224, that added together give a palindrome (6006).
The spelling of 27823224 in words is "twenty-seven million, eight hundred twenty-three thousand, two hundred twenty-four".
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