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56381640 = 2335767121
BaseRepresentation
bin1101011100010…
…1000011001000
310221002111001220
43113011003020
5103413203030
65332242040
71253143650
oct327050310
9127074056
1056381640
112990a3a7
1216a70320
13b8b1023
1476b9360
154e3aa10
hex35c50c8

56381640 has 64 divisors (see below), whose sum is σ = 193311360. Its totient is φ = 12887040.

The previous prime is 56381609. The next prime is 56381659. The reversal of 56381640 is 4618365.

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 15 ways as a sum of consecutive naturals, for example, 32721 + ... + 34400.

It is an arithmetic number, because the mean of its divisors is an integer number (3020490).

Almost surely, 256381640 is an apocalyptic number.

It is an amenable number.

56381640 is an abundant number, since it is smaller than the sum of its proper divisors (136929720).

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

56381640 is a wasteful number, since it uses less digits than its factorization.

56381640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67142 (or 67138 counting only the distinct ones).

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

The square root of 56381640 is about 7508.7708714543. The cubic root of 56381640 is about 383.4533780718.

The spelling of 56381640 in words is "fifty-six million, three hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 67121 134242 201363 268484 335605 402726 469847 536968 671210 805452 939694 1006815 1342420 1409541 1610904 1879388 2013630 2349235 2684840 2819082 3758776 4027260 4698470 5638164 7047705 8054520 9396940 11276328 14095410 18793880 28190820 56381640