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4211284 = 227113113
BaseRepresentation
bin10000000100001001010100
321220221210111
4100010021110
52034230114
6230132404
750536540
oct20041124
97827714
104211284
112417000
1214b1104
13b45aac
147b8a20
15582bc4
hex404254

4211284 has 48 divisors (see below), whose sum is σ = 9346176. Its totient is φ = 1626240.

The previous prime is 4211281. The next prime is 4211299. The reversal of 4211284 is 4821124.

4211284 is digitally balanced in base 5, 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 (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37212 + ... + 37324.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

Almost surely, 24211284 is an apocalyptic number.

4211284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673088).

4211284 is an abundant number, since it is smaller than the sum of its proper divisors (5134892).

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

4211284 is a wasteful number, since it uses less digits than its factorization.

4211284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 4211284 is about 2052.1413206697. The cubic root of 4211284 is about 161.4872268938.

The spelling of 4211284 in words is "four million, two hundred eleven thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 121 154 226 242 308 452 484 791 847 1243 1331 1582 1694 2486 2662 3164 3388 4972 5324 8701 9317 13673 17402 18634 27346 34804 37268 54692 95711 150403 191422 300806 382844 601612 1052821 2105642 4211284