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4216352 = 25722689
BaseRepresentation
bin10000000101011000100000
321221012202012
4100011120200
52034410402
6230212052
750560400
oct20053040
97835665
104216352
11241a898
1214b4028
13b481aa
147ba800
15584452
hex405620

4216352 has 36 divisors (see below), whose sum is σ = 9659790. Its totient is φ = 1806336.

The previous prime is 4216351. The next prime is 4216363. The reversal of 4216352 is 2536124.

It can be written as a sum of positive squares in only one way, i.e., 4177936 + 38416 = 2044^2 + 196^2 .

It is not an unprimeable number, because it can be changed into a prime (4216351) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224 + ... + 2912.

Almost surely, 24216352 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 4216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829895).

4216352 is an abundant number, since it is smaller than the sum of its proper divisors (5443438).

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

4216352 is a wasteful number, since it uses less digits than its factorization.

4216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2698 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 4216352 is about 2053.3757571375. The cubic root of 4216352 is about 161.5519806349.

The spelling of 4216352 in words is "four million, two hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 2689 5378 10756 18823 21512 37646 43024 75292 86048 131761 150584 263522 301168 527044 602336 1054088 2108176 4216352