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2806232 = 2311213223
BaseRepresentation
bin1010101101000111011000
312021120102112
422231013120
51204244412
6140051452
732565302
oct12550730
95246375
102806232
111647400
12b33b88
137733c0
14530972
153a6722
hex2ad1d8

2806232 has 48 divisors (see below), whose sum is σ = 6256320. Its totient is φ = 1172160.

The previous prime is 2806231. The next prime is 2806247. The reversal of 2806232 is 2326082.

2806232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2806198 and 2806207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12473 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

22806232 is an apocalyptic number.

2806232 is a gapful number since it is divisible by the number (22) 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 2806232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128160).

2806232 is an abundant number, since it is smaller than the sum of its proper divisors (3450088).

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

2806232 is a wasteful number, since it uses less digits than its factorization.

2806232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2806232 is about 1675.1811842305. The cubic root of 2806232 is about 141.0504656470.

The spelling of 2806232 in words is "two million, eight hundred six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 223 242 286 446 484 572 892 968 1144 1573 1784 2453 2899 3146 4906 5798 6292 9812 11596 12584 19624 23192 26983 31889 53966 63778 107932 127556 215864 255112 350779 701558 1403116 2806232