Search a number
-
+
3829126441 = 73373494651
BaseRepresentation
bin1110010000111011…
…1101010100101001
3100212212011202222211
43210032331110221
530320224021231
61431543245121
7163614015640
oct34416752451
910785152884
103829126441
111695495408
128aa4497a1
134903c48ba
14284794357
15176270eb1
hexe43bd529

3829126441 has 16 divisors (see below), whose sum is σ = 4402652800. Its totient is φ = 3262291200.

The previous prime is 3829126423. The next prime is 3829126453. The reversal of 3829126441 is 1446219283.

It is not a de Polignac number, because 3829126441 - 25 = 3829126409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3829126394 and 3829126403.

It is not an unprimeable number, because it can be changed into a prime (3829126481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820966 + ... + 825616.

It is an arithmetic number, because the mean of its divisors is an integer number (275165800).

Almost surely, 23829126441 is an apocalyptic number.

It is an amenable number.

3829126441 is a deficient number, since it is larger than the sum of its proper divisors (573526359).

3829126441 is a wasteful number, since it uses less digits than its factorization.

3829126441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344.

The product of its digits is 82944, while the sum is 40.

The square root of 3829126441 is about 61879.9356900118. The cubic root of 3829126441 is about 1564.4675846819.

The spelling of 3829126441 in words is "three billion, eight hundred twenty-nine million, one hundred twenty-six thousand, four hundred forty-one".

Divisors: 1 7 337 349 2359 2443 4651 32557 117613 823291 1567387 1623199 10971709 11362393 547018063 3829126441