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2825637780 = 2235764310463
BaseRepresentation
bin1010100001101011…
…1100111110010100
321021220221021100010
42220122330332110
521241330402110
61144215120220
7130010345010
oct25032747624
97256837303
102825637780
11121aaa9539
1266a373070
13360535824
141cb3b9540
15118101020
hexa86bcf94

2825637780 has 96 divisors (see below), whose sum is σ = 9056968704. Its totient is φ = 644793984.

The previous prime is 2825637751. The next prime is 2825637821. The reversal of 2825637780 is 877365282.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264829 + ... + 275291.

It is an arithmetic number, because the mean of its divisors is an integer number (94343424).

Almost surely, 22825637780 is an apocalyptic number.

2825637780 is a gapful number since it is divisible by the number (20) 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 2825637780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528484352).

2825637780 is an abundant number, since it is smaller than the sum of its proper divisors (6231330924).

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

2825637780 is a wasteful number, since it uses less digits than its factorization.

2825637780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 2825637780 is about 53156.7284546369. The cubic root of 2825637780 is about 1413.7485186759.

The spelling of 2825637780 in words is "two billion, eight hundred twenty-five million, six hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 643 1286 1929 2572 3215 3858 4501 6430 7716 9002 9645 10463 12860 13503 18004 19290 20926 22505 27006 31389 38580 41852 45010 52315 54012 62778 67515 73241 90020 104630 125556 135030 146482 156945 209260 219723 270060 292964 313890 366205 439446 627780 732410 878892 1098615 1464820 2197230 4394460 6727709 13455418 20183127 26910836 33638545 40366254 47093963 67277090 80732508 94187926 100915635 134554180 141281889 188375852 201831270 235469815 282563778 403662540 470939630 565127556 706409445 941879260 1412818890 2825637780