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2853920868 = 2232361179947
BaseRepresentation
bin1010101000011011…
…0110000001100100
321100220011012102220
42222012312001210
521321100431433
61151105232340
7130502633001
oct25206660144
97326135386
102853920868
111234a66a97
126779326b0
13366359196
141d105c8a8
1511a83b2b3
hexaa1b6064

2853920868 has 96 divisors (see below), whose sum is σ = 7109544960. Its totient is φ = 889088640.

The previous prime is 2853920857. The next prime is 2853920869. The reversal of 2853920868 is 8680293582.

It is a self number, because there is not a number n which added to its sum of digits gives 2853920868.

It is not an unprimeable number, because it can be changed into a prime (2853920869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013171 + ... + 3014117.

It is an arithmetic number, because the mean of its divisors is an integer number (74057760).

Almost surely, 22853920868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2853920868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554772480).

2853920868 is an abundant number, since it is smaller than the sum of its proper divisors (4255624092).

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

2853920868 is a wasteful number, since it uses less digits than its factorization.

2853920868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 2853920868 is about 53422.1009321049. The cubic root of 2853920868 is about 1418.4498172753.

The spelling of 2853920868 in words is "two billion, eight hundred fifty-three million, nine hundred twenty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 61 69 92 122 138 179 183 244 276 358 366 537 716 732 947 1074 1403 1894 2148 2806 2841 3788 4117 4209 5612 5682 8234 8418 10919 11364 12351 16468 16836 21781 21838 24702 32757 43562 43676 49404 57767 65343 65514 87124 115534 130686 131028 169513 173301 231068 251137 261372 339026 346602 502274 508539 678052 693204 753411 1004548 1017078 1328641 1506822 2034156 2657282 3013644 3898799 3985923 5314564 7797598 7971846 10340293 11696397 15595196 15943692 20680586 23392794 31020879 41361172 46785588 62041758 124083516 237826739 475653478 713480217 951306956 1426960434 2853920868