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56223828 = 223317113271
BaseRepresentation
bin1101011001111…
…0100001010100
310220210110121000
43112132201110
5103343130303
65325023300
71251615603
oct326364124
9126713530
1056223828
1129811881
12169b4b30
13b85724b
147677a3a
154e08da3
hex359e854

56223828 has 96 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 17418240.

The previous prime is 56223803. The next prime is 56223857. The reversal of 56223828 is 82832265.

56223828 is a `hidden beast` number, since 5 + 622 + 3 + 8 + 28 = 666.

56223828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562238282 = 6322237669947168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56223792 and 56223801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207333 + ... + 207603.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 256223828 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 56223828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

56223828 is an abundant number, since it is smaller than the sum of its proper divisors (100056492).

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

56223828 is a wasteful number, since it uses less digits than its factorization.

56223828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56223828 is about 7498.2549969976. The cubic root of 56223828 is about 383.0952822359.

The spelling of 56223828 in words is "fifty-six million, two hundred twenty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 113 153 204 226 271 306 339 452 459 542 612 678 813 918 1017 1084 1356 1626 1836 1921 2034 2439 3051 3252 3842 4068 4607 4878 5763 6102 7317 7684 9214 9756 11526 12204 13821 14634 17289 18428 23052 27642 29268 30623 34578 41463 51867 55284 61246 69156 82926 91869 103734 122492 124389 165852 183738 207468 248778 275607 367476 497556 520591 551214 826821 1041182 1102428 1561773 1653642 2082364 3123546 3307284 4685319 6247092 9370638 14055957 18741276 28111914 56223828