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285212672 = 22417
BaseRepresentation
bin10001000000000…
…000000000000000
3201212200022020022
4101000000000000
51041003301142
644145033012
710032160553
oct2100000000
9655608208
10285212672
11136aa4558
127b625768
13471211c4
1429c4469a
151a08c6d2
hex11000000

285212672 has 50 divisors (see below), whose sum is σ = 603979758. Its totient is φ = 134217728.

The previous prime is 285212659. The next prime is 285212677. The reversal of 285212672 is 276212582.

It can be written as a sum of positive squares in only one way, i.e., 268435456 + 16777216 = 16384^2 + 4096^2 .

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (285212677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 285212672 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16777208 + ... + 16777224.

Almost surely, 2285212672 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 285212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989879).

285212672 is an abundant number, since it is smaller than the sum of its proper divisors (318767086).

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

285212672 is an frugal number, since it uses more digits than its factorization.

285212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 19 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 285212672 is about 16888.2406425299. The cubic root of 285212672 is about 658.2480872085.

The spelling of 285212672 in words is "two hundred eighty-five million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4096 4352 8192 8704 16384 17408 32768 34816 65536 69632 131072 139264 262144 278528 524288 557056 1048576 1114112 2097152 2228224 4194304 4456448 8388608 8912896 16777216 17825792 35651584 71303168 142606336 285212672