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2890816 = 26172657
BaseRepresentation
bin1011000001110001000000
312102212110021
423001301000
51220001231
6141543224
733400015
oct13016100
95385407
102890816
1116a4a05
12b74b14
137a2a56
1455370c
153c1811
hex2c1c40

2890816 has 28 divisors (see below), whose sum is σ = 6076188. Its totient is φ = 1359872.

The previous prime is 2890813. The next prime is 2890861. The reversal of 2890816 is 6180982.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 817216 = 1440^2 + 904^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2890813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241 + ... + 2416.

22890816 is an apocalyptic number.

It is an amenable number.

2890816 is an abundant number, since it is smaller than the sum of its proper divisors (3185372).

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

2890816 is a wasteful number, since it uses less digits than its factorization.

2890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 2890816 is about 1700.2399830612. The cubic root of 2890816 is about 142.4536178174.

The spelling of 2890816 in words is "two million, eight hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 2657 5314 10628 21256 42512 45169 85024 90338 170048 180676 361352 722704 1445408 2890816