Search a number
-
+
281428992 = 210361329
BaseRepresentation
bin10000110001100…
…100010000000000
3201121120002000000
4100301210100000
51034021211432
643532000000
76655051455
oct2061442000
9647502000
10281428992
1113494a849
127a300000
13463c7c40
142953b82c
1519a9157c
hex10c64400

281428992 has 308 divisors, whose sum is σ = 939695820. Its totient is φ = 83607552.

The previous prime is 281428957. The next prime is 281429017. The reversal of 281428992 is 299824182.

It is a happy number.

281428992 is a `hidden beast` number, since 281 + 4 + 289 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 191102976 = 9504^2 + 13824^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9704434 + ... + 9704462.

Almost surely, 2281428992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469847910).

281428992 is an abundant number, since it is smaller than the sum of its proper divisors (658266828).

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

281428992 is an equidigital number, since it uses as much as digits as its factorization.

281428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 47 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 281428992 is about 16775.8454928507. The cubic root of 281428992 is about 655.3243092237.

The spelling of 281428992 in words is "two hundred eighty-one million, four hundred twenty-eight thousand, nine hundred ninety-two".