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56005565 = 57111743199
BaseRepresentation
bin1101010110100…
…1001110111101
310220101101012012
43111221032331
5103314134230
65320221005
71250016350
oct325511675
9126341165
1056005565
11296828a0
121690a765
13b7abab5
14761c297
154db4395
hex35693bd

56005565 has 64 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 31933440.

The previous prime is 56005541. The next prime is 56005567. The reversal of 56005565 is 56550065.

It is a de Polignac number, because none of the positive numbers 2k-56005565 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281336 + ... + 281534.

It is an arithmetic number, because the mean of its divisors is an integer number (1425600).

Almost surely, 256005565 is an apocalyptic number.

56005565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56005565 is a deficient number, since it is larger than the sum of its proper divisors (35232835).

56005565 is a wasteful number, since it uses less digits than its factorization.

56005565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 56005565 is about 7483.6865915136. The cubic root of 56005565 is about 382.5989093038.

The spelling of 56005565 in words is "fifty-six million, five thousand, five hundred sixty-five".

Divisors: 1 5 7 11 17 35 43 55 77 85 119 187 199 215 301 385 473 595 731 935 995 1309 1393 1505 2189 2365 3311 3383 3655 5117 6545 6965 8041 8557 10945 15323 16555 16915 23681 25585 37213 40205 42785 56287 59899 76615 94127 118405 145469 186065 260491 281435 299495 470635 658889 727345 1018283 1302455 1600159 3294445 5091415 8000795 11201113 56005565