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2928896 = 2817673
BaseRepresentation
bin1011001011000100000000
312111210200122
423023010000
51222211041
6142435412
733616025
oct13130400
95453618
102928896
111720583
12b92b68
137b7199
1456354c
153ccc4b
hex2cb100

2928896 has 36 divisors (see below), whose sum is σ = 6199452. Its totient is φ = 1376256.

The previous prime is 2928881. The next prime is 2928929. The reversal of 2928896 is 6988292.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 1290496 = 1280^2 + 1136^2 .

It is an unprimeable number.

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, 4016 + ... + 4688.

It is an arithmetic number, because the mean of its divisors is an integer number (172207).

22928896 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 2928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099726).

2928896 is an abundant number, since it is smaller than the sum of its proper divisors (3270556).

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

2928896 is an equidigital number, since it uses as much as digits as its factorization.

2928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 692 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 2928896 is about 1711.4017646362. The cubic root of 2928896 is about 143.0763932375.

The spelling of 2928896 in words is "two million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 673 1088 1346 2176 2692 4352 5384 10768 11441 21536 22882 43072 45764 86144 91528 172288 183056 366112 732224 1464448 2928896