Search a number
-
+
3900441601 = 72278928541
BaseRepresentation
bin1110100001111100…
…0000010000000001
3101001211100222000001
43220133000100001
530442003112401
61443012000001
7165441130600
oct35037002001
911054328001
103900441601
111721774561
1290a300001
134a2103c14
14290039a37
1517c65b601
hexe87c0401

3900441601 has 12 divisors (see below), whose sum is σ = 4539034260. Its totient is φ = 3341919840.

The previous prime is 3900441583. The next prime is 3900441719. The reversal of 3900441601 is 1061440093.

It can be written as a sum of positive squares in 2 ways, for example, as 1679770225 + 2220671376 = 40985^2 + 47124^2 .

It is not a de Polignac number, because 3900441601 - 27 = 3900441473 is a prime.

It is a super-2 number, since 2×39004416012 = 30426889365622886402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3900441601.

It is not an unprimeable number, because it can be changed into a prime (3900441401) 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 11 ways as a sum of consecutive naturals, for example, 122391 + ... + 150931.

It is an arithmetic number, because the mean of its divisors is an integer number (378252855).

Almost surely, 23900441601 is an apocalyptic number.

It is an amenable number.

3900441601 is a deficient number, since it is larger than the sum of its proper divisors (638592659).

3900441601 is a wasteful number, since it uses less digits than its factorization.

3900441601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31344 (or 31337 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3900441601 is about 62453.5155215461. The cubic root of 3900441601 is about 1574.1203252332.

Adding to 3900441601 its reverse (1061440093), we get a palindrome (4961881694).

The spelling of 3900441601 in words is "three billion, nine hundred million, four hundred forty-one thousand, six hundred one".

Divisors: 1 7 49 2789 19523 28541 136661 199787 1398509 79600849 557205943 3900441601