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2882424 = 233831447
BaseRepresentation
bin1010111111101101111000
312102102221110
422333231320
51214214144
6141440320
733333366
oct12775570
95372843
102882424
111699676
12b700a0
1379bc9c
14550636
153be0b9
hex2bfb78

2882424 has 32 divisors (see below), whose sum is σ = 7297920. Its totient is φ = 948576.

The previous prime is 2882413. The next prime is 2882441. The reversal of 2882424 is 4242882.

It is a nude number because it is divisible by every one of its digits.

2882424 is a modest number, since divided by 2424 gives 288 as remainder.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 2882391 and 2882400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (228060).

22882424 is an apocalyptic number.

2882424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2882424 is an abundant number, since it is smaller than the sum of its proper divisors (4415496).

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

2882424 is a wasteful number, since it uses less digits than its factorization.

2882424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1535 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 2882424 is about 1697.7703024850. The cubic root of 2882424 is about 142.3156372332.

The spelling of 2882424 in words is "two million, eight hundred eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1447 1992 2894 4341 5788 8682 11576 17364 34728 120101 240202 360303 480404 720606 960808 1441212 2882424