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4208256 = 273213281
BaseRepresentation
bin10000000011011010000000
321220210122100
4100003122000
52034131011
6230110400
750524653
oct20033200
97823570
104208256
1124147a8
1214ab400
13b445c0
147b789a
15581d56
hex403680

4208256 has 96 divisors (see below), whose sum is σ = 13087620. Its totient is φ = 1290240.

The previous prime is 4208249. The next prime is 4208257. The reversal of 4208256 is 6528024.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 46656 = 2040^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4208257) 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, 14836 + ... + 15116.

Almost surely, 24208256 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 4208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543810).

4208256 is an abundant number, since it is smaller than the sum of its proper divisors (8879364).

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

4208256 is a wasteful number, since it uses less digits than its factorization.

4208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4208256 is about 2051.4034220504. The cubic root of 4208256 is about 161.4485133988.

The spelling of 4208256 in words is "four million, two hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 281 288 312 384 416 468 562 576 624 832 843 936 1124 1152 1248 1664 1686 1872 2248 2496 2529 3372 3653 3744 4496 4992 5058 6744 7306 7488 8992 10116 10959 13488 14612 14976 17984 20232 21918 26976 29224 32877 35968 40464 43836 53952 58448 65754 80928 87672 107904 116896 131508 161856 175344 233792 263016 323712 350688 467584 526032 701376 1052064 1402752 2104128 4208256