Search a number
-
+
2836484 = 2271759101
BaseRepresentation
bin1010110100100000000100
312100002220222
422310200010
51211231414
6140443512
733052430
oct12644004
95302828
102836484
111668102
12b49598
137840c1
1453b9c0
153b068e
hex2b4804

2836484 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 1113600.

The previous prime is 2836481. The next prime is 2836487. The reversal of 2836484 is 4846382.

It is an interprime number because it is at equal distance from previous prime (2836481) and next prime (2836487).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2836481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28034 + ... + 28134.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22836484 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 2836484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2836484 is an abundant number, since it is smaller than the sum of its proper divisors (3332476).

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

2836484 is a wasteful number, since it uses less digits than its factorization.

2836484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 2836484 is about 1684.1864504858. The cubic root of 2836484 is about 141.5555101913. Note that the first 4 decimals are identical.

The spelling of 2836484 in words is "two million, eight hundred thirty-six thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 17 28 34 59 68 101 118 119 202 236 238 404 413 476 707 826 1003 1414 1652 1717 2006 2828 3434 4012 5959 6868 7021 11918 12019 14042 23836 24038 28084 41713 48076 83426 101303 166852 202606 405212 709121 1418242 2836484