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2881992 = 233232227
BaseRepresentation
bin1010111111100111001000
312102102100110
422333213020
51214210432
6141434320
733332211
oct12774710
95372313
102881992
111699313
12b6b9a0
1379ba29
14550408
153bddcc
hex2bf9c8

2881992 has 48 divisors (see below), whose sum is σ = 7565040. Its totient is φ = 914848.

The previous prime is 2881951. The next prime is 2882021. The reversal of 2881992 is 2991882.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 2881992.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12583 + ... + 12809.

It is an arithmetic number, because the mean of its divisors is an integer number (157605).

22881992 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 2881992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782520).

2881992 is an abundant number, since it is smaller than the sum of its proper divisors (4683048).

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

2881992 is a wasteful number, since it uses less digits than its factorization.

2881992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 255 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 2881992 is about 1697.6430720266. The cubic root of 2881992 is about 142.3085270802.

The spelling of 2881992 in words is "two million, eight hundred eighty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 227 276 454 529 552 681 908 1058 1362 1587 1816 2116 2724 3174 4232 5221 5448 6348 10442 12696 15663 20884 31326 41768 62652 120083 125304 240166 360249 480332 720498 960664 1440996 2881992