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2826051282 = 23428162081
BaseRepresentation
bin1010100001110010…
…0001111011010010
321021221201021120000
42220130201323102
521241432120112
61144232030430
7130014016365
oct25034417322
97257637500
102826051282
11122026117a
1266a532416
1336064bac2
141cb4860dc
151181837dc
hexa8721ed2

2826051282 has 40 divisors (see below), whose sum is σ = 6355086012. Its totient is φ = 938649600.

The previous prime is 2826051281. The next prime is 2826051299. The reversal of 2826051282 is 2821506282.

2826051282 is a `hidden beast` number, since 2 + 8 + 2 + 60 + 512 + 82 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2697659721 + 128391561 = 51939^2 + 11331^2 .

It is a super-3 number, since 3×28260512823 (a number of 29 digits) contains 333 as substring.

2826051282 is a modest number, since divided by 51282 gives 2826 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2826051281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14482 + ... + 76562.

Almost surely, 22826051282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826051282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177543006).

2826051282 is an abundant number, since it is smaller than the sum of its proper divisors (3529034730).

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

2826051282 is a wasteful number, since it uses less digits than its factorization.

2826051282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62376 (or 62367 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2826051282 is about 53160.6177729341. The cubic root of 2826051282 is about 1413.8174776593.

The spelling of 2826051282 in words is "two billion, eight hundred twenty-six million, fifty-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 562 843 1686 2529 5058 7587 15174 22761 45522 62081 124162 186243 372486 558729 1117458 1676187 3352374 5028561 10057122 17444761 34889522 52334283 104668566 157002849 314005698 471008547 942017094 1413025641 2826051282