Search a number
-
+
2147483648 = 231
BaseRepresentation
bin1000000000000000…
…0000000000000000
312112122212110202102
42000000000000000
513344223434043
6553032005532
7104134211162
oct20000000000
95478773672
102147483648
11a02220282
124bb2308a8
13282ba4aab
141652ca932
15c87e66b8
hex80000000

2147483648 has 32 divisors (see below), whose sum is σ = 4294967295. Its totient is φ = 1073741824.

The previous prime is 2147483647. The next prime is 2147483659. The reversal of 2147483648 is 8463847412.

It is a perfect power (a 31-st power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)31.

It can be written as a sum of positive squares in only one way, i.e., 1073741824 + 1073741824 = 32768^2 + 32768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32768.

It is a super-2 number, since 2×21474836482 = 9223372036854775808, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (1032192) is a multiple of the sum of its prime divisors (2).

It is an enlightened number because it begins with the concatenation of its prime factors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2147483647) by changing a digit.

In principle, a polygon with 2147483648 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 22147483648 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 2147483648

2147483648 is a deficient number, since it is larger than the sum of its proper divisors (2147483647).

2147483648 is an frugal number, since it uses more digits than its factorization.

2147483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 2 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 47.

The square root of 2147483648 is about 46340.9500118416. The cubic root of 2147483648 is about 1290.1591550924.

The spelling of 2147483648 in words is "two billion, one hundred forty-seven million, four hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648