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56411320 = 2357316797
BaseRepresentation
bin1101011100110…
…0010010111000
310221010222210011
43113030102320
5103420130240
65333031304
71253326330
oct327142270
9127128704
1056411320
112992a729
1216a85534
13b8c16a4
1476c60c0
154e446ea
hex35cc4b8

56411320 has 128 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 18247680.

The previous prime is 56411297. The next prime is 56411353. The reversal of 56411320 is 2311465.

56411320 = 3982 + 3992 + ... + 6142.

56411320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56411291 and 56411300.

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, 581512 + ... + 581608.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 256411320 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 56411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

56411320 is an abundant number, since it is smaller than the sum of its proper divisors (97127240).

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

56411320 is a wasteful number, since it uses less digits than its factorization.

56411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56411320 is about 7510.7469668469. The cubic root of 56411320 is about 383.5206511524.

Adding to 56411320 its reverse (2311465), we get a palindrome (58722785).

The spelling of 56411320 in words is "fifty-six million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 67 70 97 124 134 140 155 194 217 248 268 280 310 335 388 434 469 485 536 620 670 679 776 868 938 970 1085 1240 1340 1358 1736 1876 1940 2077 2170 2345 2680 2716 3007 3395 3752 3880 4154 4340 4690 5432 6014 6499 6790 8308 8680 9380 10385 12028 12998 13580 14539 15035 16616 18760 20770 21049 24056 25996 27160 29078 30070 32495 41540 42098 45493 51992 58156 60140 64990 72695 83080 84196 90986 105245 116312 120280 129980 145390 168392 181972 201469 210490 227465 259960 290780 363944 402938 420980 454930 581560 805876 841960 909860 1007345 1410283 1611752 1819720 2014690 2820566 4029380 5641132 7051415 8058760 11282264 14102830 28205660 56411320