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56082465 = 32541113269
BaseRepresentation
bin1101010111110…
…0000000100001
310220112021200100
43111330000201
5103324114330
65322013013
71250456505
oct325740041
9126467610
1056082465
112972564a
1216947169
13b807aba
14763c305
154dcc060
hex357c021

56082465 has 48 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 28815360.

The previous prime is 56082463. The next prime is 56082479. The reversal of 56082465 is 56428065.

56082465 is a `hidden beast` number, since 5 + 608 + 2 + 46 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36687249 + 19395216 = 6057^2 + 4404^2 .

It is not a de Polignac number, because 56082465 - 21 = 56082463 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56082461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 208351 + ... + 208619.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 256082465 is an apocalyptic number.

It is an amenable number.

56082465 is a deficient number, since it is larger than the sum of its proper divisors (44752815).

56082465 is a wasteful number, since it uses less digits than its factorization.

56082465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56082465 is about 7488.8226711547. The cubic root of 56082465 is about 382.7739419112.

The spelling of 56082465 in words is "fifty-six million, eighty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 41 45 113 123 205 269 339 369 565 615 807 1017 1345 1695 1845 2421 4035 4633 5085 11029 12105 13899 23165 30397 33087 41697 55145 69495 91191 99261 151985 165435 208485 273573 455955 496305 1246277 1367865 3738831 6231385 11216493 18694155 56082465