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2820232352 = 257371791901
BaseRepresentation
bin1010100000011001…
…0101010010100000
321021112202122111002
42220012111102200
521233434413402
61143503211132
7126613402520
oct25006252240
97245678432
102820232352
111217a47343
126685a6aa8
1335c392352
141ca7ad680
151178d4602
hexa81954a0

2820232352 has 96 divisors (see below), whose sum is σ = 6556878720. Its totient is φ = 1168819200.

The previous prime is 2820232313. The next prime is 2820232361. The reversal of 2820232352 is 2532320282.

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, 1482602 + ... + 1484502.

It is an arithmetic number, because the mean of its divisors is an integer number (68300820).

Almost surely, 22820232352 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 2820232352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278439360).

2820232352 is an abundant number, since it is smaller than the sum of its proper divisors (3736646368).

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

2820232352 is a wasteful number, since it uses less digits than its factorization.

2820232352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2820232352 is about 53105.8598649904. The cubic root of 2820232352 is about 1412.8464457531.

The spelling of 2820232352 in words is "two billion, eight hundred twenty million, two hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 179 224 259 296 358 518 592 716 1036 1184 1253 1432 1901 2072 2506 2864 3802 4144 5012 5728 6623 7604 8288 10024 13246 13307 15208 20048 26492 26614 30416 40096 46361 52984 53228 60832 70337 92722 105968 106456 140674 185444 211936 212912 281348 340279 370888 425824 492359 562696 680558 741776 984718 1125392 1361116 1483552 1969436 2250784 2381953 2722232 3938872 4763906 5444464 7877744 9527812 10888928 12590323 15755488 19055624 25180646 38111248 50361292 76222496 88132261 100722584 176264522 201445168 352529044 402890336 705058088 1410116176 2820232352