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56369520 = 243458699
BaseRepresentation
bin1101011100001…
…0000101110000
310221001212110000
43113002011300
5103412311040
65332110000
71253063424
oct327020560
9127055400
1056369520
1129901289
1216a65300
13b8a865c
1476b4b84
154e37130
hex35c2170

56369520 has 100 divisors (see below), whose sum is σ = 195802200. Its totient is φ = 15030144.

The previous prime is 56369519. The next prime is 56369543. The reversal of 56369520 is 2596365.

56369520 is a `hidden beast` number, since 563 + 6 + 95 + 2 + 0 = 666.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2131 + ... + 10829.

It is an arithmetic number, because the mean of its divisors is an integer number (1958022).

Almost surely, 256369520 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 56369520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97901100).

56369520 is an abundant number, since it is smaller than the sum of its proper divisors (139432680).

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

56369520 is a wasteful number, since it uses less digits than its factorization.

56369520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56369520 is about 7507.9637718892. The cubic root of 56369520 is about 383.4258999306.

The spelling of 56369520 in words is "fifty-six million, three hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8699 17398 26097 34796 43495 52194 69592 78291 86990 104388 130485 139184 156582 173980 208776 234873 260970 313164 347960 391455 417552 469746 521940 626328 695920 704619 782910 939492 1043880 1174365 1252656 1409238 1565820 1878984 2087760 2348730 2818476 3131640 3523095 3757968 4697460 5636952 6263280 7046190 9394920 11273904 14092380 18789840 28184760 56369520