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2882152 = 2371337107
BaseRepresentation
bin1010111111101001101000
312102102120101
422333221220
51214212102
6141435144
733332530
oct12775150
95372511
102882152
111699449
12b6bab4
1379bb20
145504c0
153bde87
hex2bfa68

2882152 has 64 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 1099008.

The previous prime is 2882149. The next prime is 2882179. The reversal of 2882152 is 2512882.

It is a super-2 number, since 2×28821522 = 16613600302208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2882152.

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 15 ways as a sum of consecutive naturals, for example, 26883 + ... + 26989.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22882152 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 2882152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2882152 is an abundant number, since it is smaller than the sum of its proper divisors (4012568).

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

2882152 is a wasteful number, since it uses less digits than its factorization.

2882152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 2882152 is about 1697.6901955304. The cubic root of 2882152 is about 142.3111605530.

The spelling of 2882152 in words is "two million, eight hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 107 148 182 214 259 296 364 428 481 518 728 749 856 962 1036 1391 1498 1924 2072 2782 2996 3367 3848 3959 5564 5992 6734 7918 9737 11128 13468 15836 19474 26936 27713 31672 38948 51467 55426 77896 102934 110852 205868 221704 360269 411736 720538 1441076 2882152