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2982882 = 237293179
BaseRepresentation
bin1011011000001111100010
312121112202010
423120033202
51230423012
6143533350
734232310
oct13301742
95545663
102982882
1117580a1
12bba256
13805926
145790b0
153ddc3c
hex2d83e2

2982882 has 64 divisors (see below), whose sum is σ = 7372800. Its totient is φ = 786240.

The previous prime is 2982869. The next prime is 2982883. The reversal of 2982882 is 2882892.

2982882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2982882.

It is not an unprimeable number, because it can be changed into a prime (2982883) 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 31 ways as a sum of consecutive naturals, for example, 37719 + ... + 37797.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

22982882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2982882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686400).

2982882 is an abundant number, since it is smaller than the sum of its proper divisors (4389918).

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

2982882 is a wasteful number, since it uses less digits than its factorization.

2982882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its digits is 36864, while the sum is 39.

The square root of 2982882 is about 1727.1021973236. The cubic root of 2982882 is about 143.9501177534.

The spelling of 2982882 in words is "two million, nine hundred eighty-two thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 79 87 93 158 174 186 203 217 237 406 434 474 553 609 651 899 1106 1218 1302 1659 1798 2291 2449 2697 3318 4582 4898 5394 6293 6873 7347 12586 13746 14694 16037 17143 18879 32074 34286 37758 48111 51429 71021 96222 102858 142042 213063 426126 497147 994294 1491441 2982882