Search a number
-
+
281082208 = 25113125759
BaseRepresentation
bin10000110000001…
…111100101100000
3201120220110022011
4100300033211200
51033424112313
643520322304
76652105441
oct2060174540
9646813264
10281082208
11134733250
127a173394
1346306144
142948b2c8
1519a2393d
hex10c0f960

281082208 has 48 divisors (see below), whose sum is σ = 623185920. Its totient is φ = 123638400.

The previous prime is 281082187. The next prime is 281082223. The reversal of 281082208 is 802280182.

281082208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2810822083 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 281082208.

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 7 ways as a sum of consecutive naturals, for example, 1968 + ... + 23791.

It is an arithmetic number, because the mean of its divisors is an integer number (12983040).

Almost surely, 2281082208 is an apocalyptic number.

It is an amenable number.

281082208 is an abundant number, since it is smaller than the sum of its proper divisors (342103712).

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

281082208 is a wasteful number, since it uses less digits than its factorization.

281082208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25811 (or 25803 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 281082208 is about 16765.5064939894. The cubic root of 281082208 is about 655.0550294655.

The spelling of 281082208 in words is "two hundred eighty-one million, eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 25759 51518 103036 206072 283349 412144 566698 798529 824288 1133396 1597058 2266792 3194116 4533584 6388232 8783819 9067168 12776464 17567638 25552928 35135276 70270552 140541104 281082208