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1828096 = 2837193
BaseRepresentation
bin110111110010100000000
310102212200021
412332110000
5431444341
6103103224
721352504
oct6762400
93385607
101828096
111039526
12741b14
134c011a
14358304
152619d1
hex1be500

1828096 has 36 divisors (see below), whose sum is σ = 3767092. Its totient is φ = 884736.

The previous prime is 1828093. The next prime is 1828117. The reversal of 1828096 is 6908281.

It can be written as a sum of positive squares in 2 ways, for example, as 1081600 + 746496 = 1040^2 + 864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828093) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9376 + ... + 9568.

21828096 is an apocalyptic number.

1828096 is a gapful number since it is divisible by the number (16) 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 1828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883546).

1828096 is an abundant number, since it is smaller than the sum of its proper divisors (1938996).

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

1828096 is an equidigital number, since it uses as much as digits as its factorization.

1828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1828096 is about 1352.0710040527. The cubic root of 1828096 is about 122.2736846033.

The spelling of 1828096 in words is "one million, eight hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 193 256 296 386 592 772 1184 1544 2368 3088 4736 6176 7141 9472 12352 14282 24704 28564 49408 57128 114256 228512 457024 914048 1828096