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4253616 = 2432109271
BaseRepresentation
bin10000001110011110110000
322000002212100
4100032132300
52042103431
6231100400
751104133
oct20163660
98002770
104253616
112445894
121511700
13b5c143
147ca21a
155904e6
hex40e7b0

4253616 has 60 divisors (see below), whose sum is σ = 12057760. Its totient is φ = 1399680.

The previous prime is 4253609. The next prime is 4253617. The reversal of 4253616 is 6163524.

4253616 is a `hidden beast` number, since 42 + 5 + 3 + 616 = 666.

4253616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4253616.

It is not an unprimeable number, because it can be changed into a prime (4253617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15561 + ... + 15831.

Almost surely, 24253616 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 4253616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028880).

4253616 is an abundant number, since it is smaller than the sum of its proper divisors (7804144).

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

4253616 is a wasteful number, since it uses less digits than its factorization.

4253616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4253616 is about 2062.4296351633. The cubic root of 4253616 is about 162.0265160072.

The spelling of 4253616 in words is "four million, two hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 271 327 436 542 654 813 872 981 1084 1308 1626 1744 1962 2168 2439 2616 3252 3924 4336 4878 5232 6504 7848 9756 13008 15696 19512 29539 39024 59078 88617 118156 177234 236312 265851 354468 472624 531702 708936 1063404 1417872 2126808 4253616