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56281320 = 233251271231
BaseRepresentation
bin1101011010110…
…0100011101000
310220220101110100
43112230203220
5103402000240
65330145400
71252245324
oct326544350
9126811410
1056281320
1129850a97
1216a22260
13b877474
147690984
154e1ae30
hex35ac8e8

56281320 has 96 divisors (see below), whose sum is σ = 184504320. Its totient is φ = 14878080.

The previous prime is 56281319. The next prime is 56281327. The reversal of 56281320 is 2318265.

56281320 is a `hidden beast` number, since 5 + 628 + 1 + 32 + 0 = 666.

56281320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56281327) 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 23 ways as a sum of consecutive naturals, for example, 45105 + ... + 46335.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 256281320 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 56281320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92252160).

56281320 is an abundant number, since it is smaller than the sum of its proper divisors (128223000).

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

56281320 is a wasteful number, since it uses less digits than its factorization.

56281320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56281320 is about 7502.0877094313. The cubic root of 56281320 is about 383.2258165175.

Adding to 56281320 its reverse (2318265), we get a palindrome (58599585).

The spelling of 56281320 in words is "fifty-six million, two hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1231 1270 1524 1905 2286 2462 2540 3048 3693 3810 4572 4924 5080 5715 6155 7386 7620 9144 9848 11079 11430 12310 14772 15240 18465 22158 22860 24620 29544 36930 44316 45720 49240 55395 73860 88632 110790 147720 156337 221580 312674 443160 469011 625348 781685 938022 1250696 1407033 1563370 1876044 2345055 2814066 3126740 3752088 4690110 5628132 6253480 7035165 9380220 11256264 14070330 18760440 28140660 56281320