Search a number
-
+
4195052838 = 2321761224743
BaseRepresentation
bin1111101000001011…
…0110110100100110
3101211100201202122100
43322002312310212
532042413142323
61532134312530
7205646234514
oct37202666446
911740652570
104195052838
111862aa8319
12990ab8746
1351b165cb2
142bb2094b4
15198453943
hexfa0b6d26

4195052838 has 48 divisors (see below), whose sum is σ = 9781757856. Its totient is φ = 1294513920.

The previous prime is 4195052791. The next prime is 4195052861. The reversal of 4195052838 is 8382505914.

4195052838 is a `hidden beast` number, since 4 + 1 + 95 + 0 + 528 + 38 = 666.

It is a super-3 number, since 3×41950528383 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4195052793 and 4195052802.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 93706 + ... + 131037.

It is an arithmetic number, because the mean of its divisors is an integer number (203786622).

Almost surely, 24195052838 is an apocalyptic number.

4195052838 is an abundant number, since it is smaller than the sum of its proper divisors (5586705018).

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

4195052838 is a wasteful number, since it uses less digits than its factorization.

4195052838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224829 (or 224826 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4195052838 is about 64769.2275544490. The cubic root of 4195052838 is about 1612.7949135733.

The spelling of 4195052838 in words is "four billion, one hundred ninety-five million, fifty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 18666 224743 449486 674229 1348458 2022687 3820631 4045374 7641262 11461893 13709323 22923786 27418646 34385679 41127969 68771358 82255938 123383907 233058491 246767814 466116982 699175473 1398350946 2097526419 4195052838