Search a number
-
+
4223488 = 2973113
BaseRepresentation
bin10000000111001000000000
321221120112111
4100013020000
52040122423
6230305104
750620243
oct20071000
97846474
104223488
112425195
1214b8194
13b4b509
147bd25a
1558660d
hex407200

4223488 has 40 divisors (see below), whose sum is σ = 8630028. Its totient is φ = 2064384.

The previous prime is 4223459. The next prime is 4223501. The reversal of 4223488 is 8843224.

It can be written as a sum of positive squares in 2 ways, for example, as 3873024 + 350464 = 1968^2 + 592^2 .

It is a super-2 number, since 2×42234882 = 35675701772288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37320 + ... + 37432.

Almost surely, 24223488 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 4223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315014).

4223488 is an abundant number, since it is smaller than the sum of its proper divisors (4406540).

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

4223488 is an equidigital number, since it uses as much as digits as its factorization.

4223488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its digits is 12288, while the sum is 31.

The square root of 4223488 is about 2055.1126489806. The cubic root of 4223488 is about 161.6430692640.

The spelling of 4223488 in words is "four million, two hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 73 113 128 146 226 256 292 452 512 584 904 1168 1808 2336 3616 4672 7232 8249 9344 14464 16498 18688 28928 32996 37376 57856 65992 131984 263968 527936 1055872 2111744 4223488