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4227136 = 262572
BaseRepresentation
bin10000001000000001000000
321221202112121
4100020001000
52040232021
6230334024
750634004
oct20100100
97852477
104227136
112427a01
1214ba314
13b50084
147c0704
15587741
hex408040

4227136 has 21 divisors (see below), whose sum is σ = 8420989. Its totient is φ = 2105344.

The previous prime is 4227109. The next prime is 4227137. The reversal of 4227136 is 6317224.

The square root of 4227136 is 2056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4161600 + 65536 = 2040^2 + 256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4227136.

It is not an unprimeable number, because it can be changed into a prime (4227137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 16320 + ... + 16576.

Almost surely, 24227136 is an apocalyptic number.

4227136 is the 2056-th square number.

It is an amenable number.

4227136 is a deficient number, since it is larger than the sum of its proper divisors (4193853).

4227136 is an frugal number, since it uses more digits than its factorization.

4227136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 259 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The cubic root of 4227136 is about 161.6895951231.

Multiplying 4227136 by its sum of digits (25), we get a square (105678400 = 102802).

The spelling of 4227136 in words is "four million, two hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 257 514 1028 2056 4112 8224 16448 66049 132098 264196 528392 1056784 2113568 4227136