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2822868752 = 2411235411289
BaseRepresentation
bin1010100001000001…
…1000111100010000
321021201201120221112
42220100120330100
521240123300002
61144035512452
7126644663024
oct25020307420
97251646845
102822868752
111219488090
12669458728
1335caa6352
141cac98384
15117c55852
hexa8418f10

2822868752 has 80 divisors (see below), whose sum is σ = 6242279040. Its totient is φ = 1224115200.

The previous prime is 2822868749. The next prime is 2822868767. The reversal of 2822868752 is 2578682282.

It is a self number, because there is not a number n which added to its sum of digits gives 2822868752.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2189324 + ... + 2190612.

It is an arithmetic number, because the mean of its divisors is an integer number (78028488).

Almost surely, 22822868752 is an apocalyptic number.

2822868752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2822868752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121139520).

2822868752 is an abundant number, since it is smaller than the sum of its proper divisors (3419410288).

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

2822868752 is a wasteful number, since it uses less digits than its factorization.

2822868752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1866 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 50.

The square root of 2822868752 is about 53130.6761861733. The cubic root of 2822868752 is about 1413.2865594069.

The spelling of 2822868752 in words is "two billion, eight hundred twenty-two million, eight hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 541 1012 1082 1289 2024 2164 2578 4048 4328 5156 5951 8656 10312 11902 12443 14179 20624 23804 24886 28358 29647 47608 49772 56716 59294 95216 99544 113432 118588 136873 199088 226864 237176 273746 326117 474352 547492 652234 697349 1094984 1304468 1394698 2189968 2608936 2789396 5217872 5578792 7670839 11157584 15341678 16039027 30683356 32078054 61366712 64156108 122733424 128312216 176429297 256624432 352858594 705717188 1411434376 2822868752