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2828770 = 257223251
BaseRepresentation
bin1010110010100111100010
312022201100021
422302213202
51211010040
6140344054
733021100
oct12624742
95281307
102828770
11166232a
12b4502a
13780739
14538c70
153ad24a
hex2b29e2

2828770 has 48 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 924000.

The previous prime is 2828767. The next prime is 2828779. The reversal of 2828770 is 778282.

2828770 = T12 + T13 + ... + T256.

2828770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2828779) 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 23 ways as a sum of consecutive naturals, for example, 11145 + ... + 11395.

It is an arithmetic number, because the mean of its divisors is an integer number (129276).

22828770 is an apocalyptic number.

2828770 is an abundant number, since it is smaller than the sum of its proper divisors (3376478).

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

2828770 is a wasteful number, since it uses less digits than its factorization.

2828770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 2828770 is about 1681.8947648411. The cubic root of 2828770 is about 141.4270705940.

The spelling of 2828770 in words is "two million, eight hundred twenty-eight thousand, seven hundred seventy".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 251 322 490 502 805 1127 1255 1610 1757 2254 2510 3514 5635 5773 8785 11270 11546 12299 17570 24598 28865 40411 57730 61495 80822 122990 202055 282877 404110 565754 1414385 2828770