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56209032 = 23331141577
BaseRepresentation
bin1101011001101…
…0111010001000
310220202201022000
43112122322020
5103342142112
65324431000
71251524505
oct326327210
9126681260
1056209032
1129801750
12169a8460
13b8505a9
1476724ac
154e047dc
hex359ae88

56209032 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 16588800.

The previous prime is 56209019. The next prime is 56209037. The reversal of 56209032 is 23090265.

56209032 is a `hidden beast` number, since 5 + 620 + 9 + 0 + 32 = 666.

56209032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56208987 and 56209005.

It is not an unprimeable number, because it can be changed into a prime (56209037) by changing a digit.

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, 97128 + ... + 97704.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 256209032 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 56209032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

56209032 is an abundant number, since it is smaller than the sum of its proper divisors (118578168).

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

56209032 is a wasteful number, since it uses less digits than its factorization.

56209032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56209032 is about 7497.2683025219. The cubic root of 56209032 is about 383.0616738573.

Adding to 56209032 its reverse (23090265), we get a palindrome (79299297).

The spelling of 56209032 in words is "fifty-six million, two hundred nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 41 44 54 66 72 82 88 99 108 123 132 164 198 216 246 264 297 328 369 396 451 492 577 594 738 792 902 984 1107 1154 1188 1353 1476 1731 1804 2214 2308 2376 2706 2952 3462 3608 4059 4428 4616 5193 5412 6347 6924 8118 8856 10386 10824 12177 12694 13848 15579 16236 19041 20772 23657 24354 25388 31158 32472 38082 41544 47314 48708 50776 57123 62316 70971 76164 94628 97416 114246 124632 141942 152328 171369 189256 212913 228492 260227 283884 342738 425826 456984 520454 567768 638739 685476 780681 851652 1040908 1277478 1370952 1561362 1703304 2081816 2342043 2554956 3122724 4684086 5109912 6245448 7026129 9368172 14052258 18736344 28104516 56209032