Search a number
-
+
281442728 = 23713013863
BaseRepresentation
bin10000110001100…
…111100110101000
3201121120202211202
4100301213212220
51034022131403
643532143332
76655136510
oct2061474650
9647522752
10281442728
1113495a0a6
127a307b48
1346401278
1429542840
1519a95688
hex10c679a8

281442728 has 32 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 120494400.

The previous prime is 281442703. The next prime is 281442739. The reversal of 281442728 is 827244182.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 281442691 and 281442700.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70925 + ... + 74787.

It is an arithmetic number, because the mean of its divisors is an integer number (18865980).

Almost surely, 2281442728 is an apocalyptic number.

281442728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

281442728 is an abundant number, since it is smaller than the sum of its proper divisors (322268632).

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

281442728 is a wasteful number, since it uses less digits than its factorization.

281442728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5173 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 281442728 is about 16776.2548859988. The cubic root of 281442728 is about 655.3349707506.

The spelling of 281442728 in words is "two hundred eighty-one million, four hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 1301 2602 3863 5204 7726 9107 10408 15452 18214 27041 30904 36428 54082 72856 108164 216328 5025763 10051526 20103052 35180341 40206104 70360682 140721364 281442728