Search a number
-
+
4256336 = 24726189
BaseRepresentation
bin10000001111001001010000
322000020121002
4100033021100
52042200321
6231121132
751115100
oct20171120
98006532
104256336
112447937
1215131a8
13b60456
147cb200
1559120b
hex40f250

4256336 has 60 divisors (see below), whose sum is σ = 9859860. Its totient is φ = 1774080.

The previous prime is 4256327. The next prime is 4256347. The reversal of 4256336 is 6336524.

4256336 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 414736 + 3841600 = 644^2 + 1960^2 .

It is a super-2 number, since 2×42563362 = 36232792289792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4256299 and 4256308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47780 + ... + 47868.

It is an arithmetic number, because the mean of its divisors is an integer number (164331).

Almost surely, 24256336 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 4256336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929930).

4256336 is an abundant number, since it is smaller than the sum of its proper divisors (5603524).

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

4256336 is a wasteful number, since it uses less digits than its factorization.

4256336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its digits is 12960, while the sum is 29.

The square root of 4256336 is about 2063.0889462163. The cubic root of 4256336 is about 162.0610449208.

The spelling of 4256336 in words is "four million, two hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 89 98 112 122 178 196 244 356 392 427 488 623 712 784 854 976 1246 1424 1708 2492 2989 3416 4361 4984 5429 5978 6832 8722 9968 10858 11956 17444 21716 23912 34888 38003 43432 47824 69776 76006 86864 152012 266021 304024 532042 608048 1064084 2128168 4256336