Search a number
-
+
4217152 = 26131503
BaseRepresentation
bin10000000101100101000000
321221020211211
4100011211000
52034422102
6230215504
750562622
oct20054500
97836754
104217152
112420455
1214b4594
13b48674
147bac12
155847d7
hex405940

4217152 has 28 divisors (see below), whose sum is σ = 8449056. Its totient is φ = 2088320.

The previous prime is 4217141. The next prime is 4217159. The reversal of 4217152 is 2517124.

It is a happy number.

It is a super-2 number, since 2×42171522 = 35568741982208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217159) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8133 + ... + 8635.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 24217152 is an apocalyptic number.

It is an amenable number.

4217152 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4217152 is a wasteful number, since it uses less digits than its factorization.

4217152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 560, while the sum is 22.

The square root of 4217152 is about 2053.5705490681. The cubic root of 4217152 is about 161.5621974773.

It can be divided in two parts, 4 and 217152, that added together give a square (217156 = 4662).

The spelling of 4217152 in words is "four million, two hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 131 262 503 524 1006 1048 2012 2096 4024 4192 8048 8384 16096 32192 65893 131786 263572 527144 1054288 2108576 4217152