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894249216 = 283272892
BaseRepresentation
bin110101010011010…
…010100100000000
32022022200120022100
4311103102210000
53312411433331
6224422510400
731105664400
oct6523224400
92268616270
10894249216
11419864743
1220b595400
13113361c63
1486aa0800
1553792ae6
hex354d2900

894249216 has 243 divisors, whose sum is σ = 3033373161. Its totient is φ = 252628992.

The previous prime is 894249179. The next prime is 894249217. The reversal of 894249216 is 612942498.

The square root of 894249216 is 29904.

It is a perfect power (a square), and thus also a powerful number.

894249216 is a `hidden beast` number, since 8 + 9 + 424 + 9 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171714816 + 722534400 = 13104^2 + 26880^2 .

It is a super-2 number, since 2×8942492162 = 1599363320633229312, which contains 22 as substring.

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 (894249217) 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 26 ways as a sum of consecutive naturals, for example, 10047700 + ... + 10047788.

Almost surely, 2894249216 is an apocalyptic number.

894249216 is the 29904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 894249216

894249216 is an abundant number, since it is smaller than the sum of its proper divisors (2139123945).

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

894249216 is an equidigital number, since it uses as much as digits as its factorization.

894249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 101 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 894249216 is about 963.4285738409.

The spelling of 894249216 in words is "eight hundred ninety-four million, two hundred forty-nine thousand, two hundred sixteen".