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56228382 = 23272371723
BaseRepresentation
bin1101011001111…
…1101000011110
310220210200211200
43112133220132
5103343302012
65325100330
71251635100
oct326375036
9126720750
1056228382
1129815241
12169b76a6
13b859342
147679570
154e0a3dc
hex359fa1e

56228382 has 72 divisors (see below), whose sum is σ = 145633176. Its totient is φ = 15621984.

The previous prime is 56228377. The next prime is 56228383. The reversal of 56228382 is 28382265.

56228382 is a `hidden beast` number, since 56 + 228 + 382 = 666.

It is a super-3 number, since 3×562283823 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56228383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31773 + ... + 33495.

It is an arithmetic number, because the mean of its divisors is an integer number (2022683).

Almost surely, 256228382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56228382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72816588).

56228382 is an abundant number, since it is smaller than the sum of its proper divisors (89404794).

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

56228382 is a wasteful number, since it uses less digits than its factorization.

56228382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1772 counting only the distinct ones).

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

The square root of 56228382 is about 7498.5586615029. The cubic root of 56228382 is about 383.1056252339.

The spelling of 56228382 in words is "fifty-six million, two hundred twenty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1723 1813 2331 3446 3626 4662 5169 5439 10338 10878 12061 15507 16317 24122 31014 32634 36183 63751 72366 84427 108549 127502 168854 191253 217098 253281 382506 446257 506562 573759 759843 892514 1147518 1338771 1519686 2677542 3123799 4016313 6247598 8032626 9371397 18742794 28114191 56228382