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56005873 = 7211293583
BaseRepresentation
bin1101010110100…
…1010011110001
310220101101121121
43111221103301
5103314141443
65320222241
71250020300
oct325512361
9126341547
1056005873
1129683050
121690a981
13b7abc91
14761c437
154db44ed
hex35694f1

56005873 has 24 divisors (see below), whose sum is σ = 73543680. Its totient is φ = 42124320.

The previous prime is 56005867. The next prime is 56005879. The reversal of 56005873 is 37850065.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56005867) and next prime (56005879).

It is not a de Polignac number, because 56005873 - 25 = 56005841 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56005879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13840 + ... + 17422.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 256005873 is an apocalyptic number.

It is an amenable number.

56005873 is a deficient number, since it is larger than the sum of its proper divisors (17537807).

56005873 is a wasteful number, since it uses less digits than its factorization.

56005873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 56005873 is about 7483.7071695785. The cubic root of 56005873 is about 382.5996106641.

The spelling of 56005873 in words is "fifty-six million, five thousand, eight hundred seventy-three".

Divisors: 1 7 11 29 49 77 203 319 539 1421 2233 3583 15631 25081 39413 103907 175567 275891 727349 1142977 1931237 5091443 8000839 56005873