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56766825 = 345217297
BaseRepresentation
bin1101100010001…
…1000101101001
310221211001110000
43120203011221
5104013014300
65344413213
71256336643
oct330430551
9127731400
1056766825
112a052835
1217017209
13b9b744b
147779893
154eb4c00
hex3623169

56766825 has 90 divisors (see below), whose sum is σ = 112852586. Its totient is φ = 28200960.

The previous prime is 56766821. The next prime is 56766839. The reversal of 56766825 is 52866765.

56766825 is a `hidden beast` number, since 567 + 6 + 6 + 82 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 3884841 + 52881984 = 1971^2 + 7272^2 .

It is not a de Polignac number, because 56766825 - 22 = 56766821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56766821) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 585177 + ... + 585273.

Almost surely, 256766825 is an apocalyptic number.

It is an amenable number.

56766825 is a deficient number, since it is larger than the sum of its proper divisors (56085761).

56766825 is a wasteful number, since it uses less digits than its factorization.

56766825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 56766825 is about 7534.3762183740. The cubic root of 56766825 is about 384.3246156445.

The spelling of 56766825 in words is "fifty-six million, seven hundred sixty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 97 135 153 225 255 289 291 405 425 459 485 675 765 867 873 1275 1377 1445 1455 1649 2025 2295 2425 2601 2619 3825 4335 4365 4947 6885 7225 7275 7803 7857 8245 11475 13005 13095 14841 21675 21825 23409 24735 28033 34425 39015 39285 41225 44523 65025 65475 74205 84099 117045 123675 133569 140165 195075 196425 222615 252297 371025 420495 585225 667845 700825 756891 1113075 1261485 2102475 2270673 3339225 3784455 6307425 11353365 18922275 56766825