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2821896 = 2332711509
BaseRepresentation
bin1010110000111100001000
312022100220200
422300330020
51210300041
6140252200
732662050
oct12607410
95270820
102821896
111658150
12b41060
1377a57c
14536560
153ab1b6
hex2b0f08

2821896 has 96 divisors (see below), whose sum is σ = 9547200. Its totient is φ = 731520.

The previous prime is 2821877. The next prime is 2821909. The reversal of 2821896 is 6981282.

2821896 = 263 + 273 + ... + 583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2821896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5290 + ... + 5798.

It is an arithmetic number, because the mean of its divisors is an integer number (99450).

22821896 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 2821896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773600).

2821896 is an abundant number, since it is smaller than the sum of its proper divisors (6725304).

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

2821896 is a wasteful number, since it uses less digits than its factorization.

2821896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2821896 is about 1679.8499933030. The cubic root of 2821896 is about 141.3124202671.

The spelling of 2821896 in words is "two million, eight hundred twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 509 616 693 792 924 1018 1386 1527 1848 2036 2772 3054 3563 4072 4581 5544 5599 6108 7126 9162 10689 11198 12216 14252 16797 18324 21378 22396 28504 32067 33594 36648 39193 42756 44792 50391 64134 67188 78386 85512 100782 117579 128268 134376 156772 201564 235158 256536 313544 352737 403128 470316 705474 940632 1410948 2821896