Search a number
-
+
4406644040 = 235971135733
BaseRepresentation
bin1000001101010100…
…00000110101001000
3102101002212201012112
410012222000311020
533011100102130
62005133401452
7214125566501
oct40652006510
912332781175
104406644040
111961487987
12a2b939288
13552c4b1a6
142db367ba8
151abcec495
hex106a80d48

4406644040 has 32 divisors (see below), whose sum is σ = 10017173880. Its totient is φ = 1744484352.

The previous prime is 4406644013. The next prime is 4406644049. The reversal of 4406644040 is 404466044.

It can be written as a sum of positive squares in 4 ways, for example, as 3903000676 + 503643364 = 62474^2 + 22442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4406643988 and 4406644006.

It is not an unprimeable number, because it can be changed into a prime (4406644049) 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 7 ways as a sum of consecutive naturals, for example, 563987 + ... + 571746.

Almost surely, 24406644040 is an apocalyptic number.

4406644040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4406644040 is an abundant number, since it is smaller than the sum of its proper divisors (5610529840).

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

4406644040 is a wasteful number, since it uses less digits than its factorization.

4406644040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135841 (or 1135837 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 4406644040 is about 66382.5582513961. The cubic root of 4406644040 is about 1639.4669147812.

The spelling of 4406644040 in words is "four billion, four hundred six million, six hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 1135733 2271466 4542932 5678665 9085864 11357330 22714660 45429320 110166101 220332202 440664404 550830505 881328808 1101661010 2203322020 4406644040