Search a number
-
+
556248 = 233721143
BaseRepresentation
bin10000111110011011000
31001021000210
42013303120
5120244443
615531120
74504500
oct2076330
91037023
10556248
1134aa10
12229aa0
13166254
14106a00
15aec33
hex87cd8

556248 has 96 divisors (see below), whose sum is σ = 1805760. Its totient is φ = 141120.

The previous prime is 556243. The next prime is 556253. The reversal of 556248 is 842655.

556248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (556243) and next prime (556253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12915 + ... + 12957.

It is an arithmetic number, because the mean of its divisors is an integer number (18810).

2556248 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 556248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902880).

556248 is an abundant number, since it is smaller than the sum of its proper divisors (1249512).

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

556248 is a wasteful number, since it uses less digits than its factorization.

556248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 556248 is about 745.8203537046. The cubic root of 556248 is about 82.2412092612.

The spelling of 556248 in words is "five hundred fifty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 49 56 66 77 84 86 88 98 129 132 147 154 168 172 196 231 258 264 294 301 308 344 392 462 473 516 539 588 602 616 903 924 946 1032 1078 1176 1204 1419 1617 1806 1848 1892 2107 2156 2408 2838 3234 3311 3612 3784 4214 4312 5676 6321 6468 6622 7224 8428 9933 11352 12642 12936 13244 16856 19866 23177 25284 26488 39732 46354 50568 69531 79464 92708 139062 185416 278124 556248