Search a number
-
+
4165927936 = 21020172
BaseRepresentation
bin1111100001001111…
…0000010000000000
3101202022221001210021
43320103300100000
532012434143221
61525214143224
7205143542332
oct37023602000
911668831707
104165927936
111848615355
129831b1b14
13515109421
142b73c7452
15195aee041
hexf84f0400

4165927936 has 33 divisors (see below), whose sum is σ = 8331918429. Its totient is φ = 2081931264.

The previous prime is 4165927933. The next prime is 4165927937. The reversal of 4165927936 is 6397295614.

It is a happy number.

The square root of 4165927936 is 64544.

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

It can be written as a sum of positive squares in only one way, i.e., 3523609600 + 642318336 = 59360^2 + 25344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4165927933) 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 2 ways as a sum of consecutive naturals, for example, 2064400 + ... + 2066416.

Almost surely, 24165927936 is an apocalyptic number.

4165927936 is the 64544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165927936

4165927936 is an abundant number, since it is smaller than the sum of its proper divisors (4165990493).

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

4165927936 is an frugal number, since it uses more digits than its factorization.

4165927936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 2019 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The cubic root of 4165927936 is about 1609.0538705064.

The spelling of 4165927936 in words is "four billion, one hundred sixty-five million, nine hundred twenty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2017 4034 8068 16136 32272 64544 129088 258176 516352 1032704 2065408 4068289 8136578 16273156 32546312 65092624 130185248 260370496 520740992 1041481984 2082963968 4165927936