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2825856 = 273211223
BaseRepresentation
bin1010110001111010000000
312022120100100
422301322000
51210411411
6140322400
733006435
oct12617200
95276310
102825856
111660120
12b43400
1377c307
14537b8c
153ac456
hex2b1e80

2825856 has 96 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 852480.

The previous prime is 2825833. The next prime is 2825857. The reversal of 2825856 is 6585282.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2825856.

It is not an unprimeable number, because it can be changed into a prime (2825857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12561 + ... + 12783.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

22825856 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 2825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

2825856 is an abundant number, since it is smaller than the sum of its proper divisors (6084864).

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

2825856 is a wasteful number, since it uses less digits than its factorization.

2825856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2825856 is about 1681.0282567524. The cubic root of 2825856 is about 141.3784911670.

The spelling of 2825856 in words is "two million, eight hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 223 264 288 352 384 396 446 528 576 669 704 792 892 1056 1152 1338 1408 1584 1784 2007 2112 2453 2676 3168 3568 4014 4224 4906 5352 6336 7136 7359 8028 9812 10704 12672 14272 14718 16056 19624 21408 22077 28544 29436 32112 39248 42816 44154 58872 64224 78496 85632 88308 117744 128448 156992 176616 235488 256896 313984 353232 470976 706464 941952 1412928 2825856