Search a number
-
+
2837244 = 2232931263
BaseRepresentation
bin1010110100101011111100
312100010222010
422310223330
51211242434
6140451220
733054564
oct12645374
95303863
102837244
111668733
12b49b10
13784557
1453bda4
153b09e9
hex2b4afc

2837244 has 48 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 880320.

The previous prime is 2837243. The next prime is 2837279. The reversal of 2837244 is 4427382.

2837244 = T271 + T272 + ... + T332.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2837243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10657 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (147840).

22837244 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 2837244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2837244 is an abundant number, since it is smaller than the sum of its proper divisors (4259076).

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

2837244 is a wasteful number, since it uses less digits than its factorization.

2837244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2837244 is about 1684.4120635996. The cubic root of 2837244 is about 141.5681517316.

It can be divided in two parts, 2837 and 244, that added together give a triangular number (3081 = T78).

The spelling of 2837244 in words is "two million, eight hundred thirty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 263 348 372 526 789 899 1052 1578 1798 2697 3156 3596 5394 7627 8153 10788 15254 16306 22881 24459 30508 32612 45762 48918 91524 97836 236437 472874 709311 945748 1418622 2837244