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2805123328 = 2873742307
BaseRepresentation
bin1010011100110010…
…1100100100000000
321020111100000210121
42213030230210000
521221102421303
61142203310024
7126341104060
oct24714544400
97214300717
102805123328
11120a467747
1266351b314
133592021b7
141c87993a0
151163ec9bd
hexa732c900

2805123328 has 72 divisors (see below), whose sum is σ = 6572293952. Its totient is φ = 1169676288.

The previous prime is 2805123313. The next prime is 2805123337. The reversal of 2805123328 is 8233215082.

It is a junction number, because it is equal to n+sod(n) for n = 2805123293 and 2805123302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45151 + ... + 87457.

Almost surely, 22805123328 is an apocalyptic number.

2805123328 is a gapful number since it is divisible by the number (28) 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 2805123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286146976).

2805123328 is an abundant number, since it is smaller than the sum of its proper divisors (3767170624).

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

2805123328 is an equidigital number, since it uses as much as digits as its factorization.

2805123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42367 (or 42353 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2805123328 is about 52963.4149956364. The cubic root of 2805123328 is about 1410.3188803114.

The spelling of 2805123328 in words is "two billion, eight hundred five million, one hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 4144 4736 8288 9472 16576 33152 42307 66304 84614 169228 296149 338456 592298 676912 1184596 1353824 1565359 2369192 2707648 3130718 4738384 5415296 6261436 9476768 10830592 10957513 12522872 18953536 21915026 25045744 37907072 43830052 50091488 75814144 87660104 100182976 175320208 200365952 350640416 400731904 701280832 1402561664 2805123328