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2852982 = 234111601
BaseRepresentation
bin1010111000100001110110
312100221120000
422320201312
51212243412
6141052130
733151506
oct12704166
95327500
102852982
111679540
12b57046
1378b772
14543a06
153b54dc
hex2b8876

2852982 has 40 divisors (see below), whose sum is σ = 6978312. Its totient is φ = 864000.

The previous prime is 2852981. The next prime is 2852987. The reversal of 2852982 is 2892582.

2852982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852981) 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 19 ways as a sum of consecutive naturals, for example, 982 + ... + 2582.

22852982 is an apocalyptic number.

2852982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489156).

2852982 is an abundant number, since it is smaller than the sum of its proper divisors (4125330).

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

2852982 is a wasteful number, since it uses less digits than its factorization.

2852982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1617 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2852982 is about 1689.0772628865. The cubic root of 2852982 is about 141.8294255475.

The spelling of 2852982 in words is "two million, eight hundred fifty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1601 1782 3202 4803 9606 14409 17611 28818 35222 43227 52833 86454 105666 129681 158499 259362 316998 475497 950994 1426491 2852982