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56834610 = 2357223412
BaseRepresentation
bin1101100011001…
…1101000110010
310221221111102120
43120303220302
5104022201420
65350055110
71260041400
oct330635062
9127844376
1056834610
112a099758
121704a496
13ba0c261
147796470
154ec9d40
hex3633a32

56834610 has 144 divisors (see below), whose sum is σ = 169708608. Its totient is φ = 12122880.

The previous prime is 56834597. The next prime is 56834611. The reversal of 56834610 is 1643865.

56834610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (56834611) 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 71 ways as a sum of consecutive naturals, for example, 1386190 + ... + 1386230.

It is an arithmetic number, because the mean of its divisors is an integer number (1178532).

Almost surely, 256834610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56834610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84854304).

56834610 is an abundant number, since it is smaller than the sum of its proper divisors (112873998).

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

56834610 is a wasteful number, since it uses less digits than its factorization.

56834610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 56834610 is about 7538.8732579876. The cubic root of 56834610 is about 384.4775282047.

The spelling of 56834610 in words is "fifty-six million, eight hundred thirty-four thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 41 42 46 49 69 70 82 98 105 115 123 138 147 161 205 210 230 245 246 287 294 322 345 410 483 490 574 615 690 735 805 861 943 966 1127 1230 1435 1470 1610 1681 1722 1886 2009 2254 2415 2829 2870 3362 3381 4018 4305 4715 4830 5043 5635 5658 6027 6601 6762 8405 8610 9430 10045 10086 11270 11767 12054 13202 14145 16810 16905 19803 20090 23534 25215 28290 30135 33005 33810 35301 38663 39606 46207 50430 58835 60270 66010 70602 77326 82369 92414 99015 115989 117670 138621 164738 176505 193315 198030 231035 231978 247107 270641 277242 353010 386630 411845 462070 494214 541282 579945 693105 811923 823690 1159890 1235535 1353205 1386210 1623846 1894487 2471070 2706410 3788974 4059615 5683461 8119230 9472435 11366922 18944870 28417305 56834610