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56350980 = 22325726389
BaseRepresentation
bin1101011011110…
…1100100000100
310221000221000100
43112331210010
5103411212410
65331444100
71252655400
oct326754404
9127027010
1056350980
1129899364
1216a56630
13b8a009a
1476ac100
154e318c0
hex35bd904

56350980 has 108 divisors (see below), whose sum is σ = 198869580. Its totient is φ = 12878208.

The previous prime is 56350969. The next prime is 56350993. The reversal of 56350980 is 8905365.

56350980 is a `hidden beast` number, since 563 + 5 + 0 + 98 + 0 = 666.

56350980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6563844 + 49787136 = 2562^2 + 7056^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 5626 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (1841385).

Almost surely, 256350980 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 56350980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99434790).

56350980 is an abundant number, since it is smaller than the sum of its proper divisors (142518600).

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

56350980 is a wasteful number, since it uses less digits than its factorization.

56350980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56350980 is about 7506.7289813873. The cubic root of 56350980 is about 383.3838589146.

The spelling of 56350980 in words is "fifty-six million, three hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6389 8820 12778 19167 25556 31945 38334 44723 57501 63890 76668 89446 95835 115002 127780 134169 178892 191670 223615 230004 268338 287505 313061 383340 402507 447230 536676 575010 626122 670845 805014 894460 939183 1150020 1252244 1341690 1565305 1610028 1878366 2012535 2683380 2817549 3130610 3756732 4025070 4695915 5635098 6261220 8050140 9391830 11270196 14087745 18783660 28175490 56350980