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4217232 = 243103853
BaseRepresentation
bin10000000101100110010000
321221020221210
4100011212100
52034422412
6230220120
750563065
oct20054620
97836853
104217232
112420518
1214b4640
13b48706
147bac6c
1558483c
hex405990

4217232 has 40 divisors (see below), whose sum is σ = 11013184. Its totient is φ = 1390464.

The previous prime is 4217231. The next prime is 4217233. The reversal of 4217232 is 2327124.

It is an interprime number because it is at equal distance from previous prime (4217231) and next prime (4217233).

It is a junction number, because it is equal to n+sod(n) for n = 4217199 and 4217208.

It is not an unprimeable number, because it can be changed into a prime (4217231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4518 + ... + 5370.

Almost surely, 24217232 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 4217232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506592).

4217232 is an abundant number, since it is smaller than the sum of its proper divisors (6795952).

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

4217232 is a wasteful number, since it uses less digits than its factorization.

4217232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 4217232 is about 2053.5900272450. The cubic root of 4217232 is about 161.5632190905.

The spelling of 4217232 in words is "four million, two hundred seventeen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 853 1236 1648 1706 2472 2559 3412 4944 5118 6824 10236 13648 20472 40944 87859 175718 263577 351436 527154 702872 1054308 1405744 2108616 4217232