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8139828 = 2231921879
BaseRepresentation
bin11111000011010000110100
3120022112202010
4133003100310
54040433303
6450244220
7126121164
oct37032064
916275663
108139828
11465a634
122886670
1318bcc88
14111c5a4
15aabc03
hex7c3434

8139828 has 36 divisors (see below), whose sum is σ = 20055840. Its totient is φ = 2569104.

The previous prime is 8139797. The next prime is 8139829. The reversal of 8139828 is 8289318.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8139829) by changing a digit.

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, 3393 + ... + 5271.

Almost surely, 28139828 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 8139828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027920).

8139828 is an abundant number, since it is smaller than the sum of its proper divisors (11916012).

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

8139828 is a wasteful number, since it uses less digits than its factorization.

8139828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1903 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 8139828 is about 2853.0383803938. The cubic root of 8139828 is about 201.1585096529.

The spelling of 8139828 in words is "eight million, one hundred thirty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 1879 2166 3758 4332 5637 7516 11274 22548 35701 71402 107103 142804 214206 428412 678319 1356638 2034957 2713276 4069914 8139828