Search a number
-
+
3825205134 = 2319316011801
BaseRepresentation
bin1110001111111111…
…1111111110001110
3100212120210112222020
43203333333332032
530313223031014
61431323231010
7163535464362
oct34377777616
910776715866
103825205134
111693257263
128a9078466
1348c650aba
142840532a2
15175c491a9
hexe3ffff8e

3825205134 has 64 divisors (see below), whose sum is σ = 8331294720. Its totient is φ = 1166400000.

The previous prime is 3825205133. The next prime is 3825205157. The reversal of 3825205134 is 4315025283.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3825205095 and 3825205104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825205133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2123034 + ... + 2124834.

It is an arithmetic number, because the mean of its divisors is an integer number (130176480).

Almost surely, 23825205134 is an apocalyptic number.

3825205134 is an abundant number, since it is smaller than the sum of its proper divisors (4506089586).

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

3825205134 is a wasteful number, since it uses less digits than its factorization.

3825205134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 3825205134 is about 61848.2427721273. The cubic root of 3825205134 is about 1563.9333590019.

The spelling of 3825205134 in words is "three billion, eight hundred twenty-five million, two hundred five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 589 601 1178 1202 1767 1801 1803 3534 3602 3606 5403 10806 11419 18631 22838 34219 34257 37262 55831 55893 68438 68514 102657 111662 111786 167493 205314 334986 353989 707978 1060789 1061967 1082401 2121578 2123934 2164802 3182367 3247203 6364734 6494406 20565619 33554431 41131238 61696857 67108862 100663293 123393714 201326586 637534189 1275068378 1912602567 3825205134