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1828536 = 233611249
BaseRepresentation
bin110111110011010111000
310102220021120
412332122320
5432003121
6103105240
721354003
oct6763270
93386246
101828536
111039896
12742220
134c0398
1435853a
15261bc6
hex1be6b8

1828536 has 32 divisors (see below), whose sum is σ = 4650000. Its totient is φ = 599040.

The previous prime is 1828531. The next prime is 1828543. The reversal of 1828536 is 6358281.

It is a happy number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1828497 and 1828506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828531) 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 7 ways as a sum of consecutive naturals, for example, 840 + ... + 2088.

21828536 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 1828536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325000).

1828536 is an abundant number, since it is smaller than the sum of its proper divisors (2821464).

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

1828536 is a wasteful number, since it uses less digits than its factorization.

1828536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1315 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 1828536 is about 1352.2337076112. The cubic root of 1828536 is about 122.2834937354.

The spelling of 1828536 in words is "one million, eight hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1249 1464 2498 3747 4996 7494 9992 14988 29976 76189 152378 228567 304756 457134 609512 914268 1828536