Search a number
-
+
3993000001 = 17282116829
BaseRepresentation
bin1110111000000000…
…0101100001000001
3101022021112102020221
43232000011201001
531134202000001
61500115503041
7200643640264
oct35600054101
911267472227
103993000001
111769a43001
129352b7a81
134b83404c3
1429c450cdb
151858411a1
hexee005841

3993000001 has 12 divisors (see below), whose sum is σ = 4247117820. Its totient is φ = 3753317120.

The previous prime is 3992999947. The next prime is 3993000023. The reversal of 3993000001 is 1000003993.

It can be written as a sum of positive squares in 6 ways, for example, as 82373776 + 3910626225 = 9076^2 + 62535^2 .

It is not a de Polignac number, because 3993000001 - 213 = 3992991809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3993000001.

It is not an unprimeable number, because it can be changed into a prime (3993000301) 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, 228855 + ... + 245683.

It is an arithmetic number, because the mean of its divisors is an integer number (353926485).

Almost surely, 23993000001 is an apocalyptic number.

It is an amenable number.

3993000001 is a deficient number, since it is larger than the sum of its proper divisors (254117819).

3993000001 is a wasteful number, since it uses less digits than its factorization.

3993000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17684 (or 17667 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 3993000001 is about 63190.1891198309. The cubic root of 3993000001 is about 1586.4745274706.

Adding to 3993000001 its reverse (1000003993), we get a palindrome (4993003994).

The spelling of 3993000001 in words is "three billion, nine hundred ninety-three million, one", and thus it is an aban number.

Divisors: 1 17 289 821 13957 16829 237269 286093 4863581 13816609 234882353 3993000001