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2801284 = 2219293141
BaseRepresentation
bin1010101011111010000100
312021022122021
422223322010
51204120114
6140012524
732545003
oct12537204
95238567
102801284
111643712
12b31144
13771085
1452cc3a
153a5024
hex2abe84

2801284 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 1209600.

The previous prime is 2801273. The next prime is 2801287. The reversal of 2801284 is 4821082.

2801284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2801287) 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 15 ways as a sum of consecutive naturals, for example, 68304 + ... + 68344.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

22801284 is an apocalyptic number.

It is an amenable number.

2801284 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2801284 is a wasteful number, since it uses less digits than its factorization.

2801284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2801284 is about 1673.7036774770. The cubic root of 2801284 is about 140.9675159479.

The spelling of 2801284 in words is "two million, eight hundred one thousand, two hundred eighty-four".

Divisors: 1 2 4 19 29 31 38 41 58 62 76 82 116 124 164 551 589 779 899 1102 1178 1189 1271 1558 1798 2204 2356 2378 2542 3116 3596 4756 5084 17081 22591 24149 34162 36859 45182 48298 68324 73718 90364 96596 147436 700321 1400642 2801284