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2836496 = 241321049
BaseRepresentation
bin1010110100100000010000
312100002221102
422310200100
51211231441
6140443532
733052445
oct12644020
95302842
102836496
111668113
12b495a8
13784100
1453b9cc
153b069b
hex2b4810

2836496 has 30 divisors (see below), whose sum is σ = 5956650. Its totient is φ = 1307904.

The previous prime is 2836489. The next prime is 2836549. The reversal of 2836496 is 6946382.

It can be written as a sum of positive squares in 3 ways, for example, as 160000 + 2676496 = 400^2 + 1636^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2180 + ... + 3228.

It is an arithmetic number, because the mean of its divisors is an integer number (198555).

22836496 is an apocalyptic number.

2836496 is a gapful number since it is divisible by the number (26) 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 2836496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978325).

2836496 is an abundant number, since it is smaller than the sum of its proper divisors (3120154).

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

2836496 is a wasteful number, since it uses less digits than its factorization.

2836496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1064 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 2836496 is about 1684.1900130330. The cubic root of 2836496 is about 141.5557098121. Note that the first 3 decimals are identical.

The spelling of 2836496 in words is "two million, eight hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1049 1352 2098 2704 4196 8392 13637 16784 27274 54548 109096 177281 218192 354562 709124 1418248 2836496