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2028816 = 243273193
BaseRepresentation
bin111101111010100010000
310211002000100
413233110100
51004410231
6111252400
723146626
oct7572420
93732010
102028816
111166309
1281a100
135605aa
143ab516
152a11e6
hex1ef510

2028816 has 60 divisors (see below), whose sum is σ = 5785468. Its totient is φ = 663552.

The previous prime is 2028809. The next prime is 2028841. The reversal of 2028816 is 6188202.

It can be written as a sum of positive squares in 2 ways, for example, as 810000 + 1218816 = 900^2 + 1104^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2028816.

It is a congruent number.

It is an unprimeable number.

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, 10416 + ... + 10608.

22028816 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 2028816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892734).

2028816 is an abundant number, since it is smaller than the sum of its proper divisors (3756652).

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

2028816 is a wasteful number, since it uses less digits than its factorization.

2028816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2028816 is about 1424.3651217297. The cubic root of 2028816 is about 126.5943200285.

The spelling of 2028816 in words is "two million, twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 193 219 292 386 438 579 584 657 772 876 1158 1168 1314 1544 1737 1752 2316 2628 3088 3474 3504 4632 5256 6948 9264 10512 13896 14089 27792 28178 42267 56356 84534 112712 126801 169068 225424 253602 338136 507204 676272 1014408 2028816