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56728665 = 3257732467
BaseRepresentation
bin1101100001100…
…1110001011001
310221202010002200
43120121301121
5104010304130
65343520413
71256120460
oct330316131
9127663080
1056728665
112a0270a4
1216bb9109
13b9a2c76
1477699d7
154ea8760
hex3619c59

56728665 has 48 divisors (see below), whose sum is σ = 113962368. Its totient is φ = 25567488.

The previous prime is 56728663. The next prime is 56728673. The reversal of 56728665 is 56682765.

56728665 is a `hidden beast` number, since 567 + 2 + 86 + 6 + 5 = 666.

56728665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56728665 - 21 = 56728663 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56728665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56728663) 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 47 ways as a sum of consecutive naturals, for example, 21762 + ... + 24228.

It is an arithmetic number, because the mean of its divisors is an integer number (2374216).

Almost surely, 256728665 is an apocalyptic number.

It is an amenable number.

56728665 is an abundant number, since it is smaller than the sum of its proper divisors (57233703).

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

56728665 is a wasteful number, since it uses less digits than its factorization.

56728665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2555 counting only the distinct ones).

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

The square root of 56728665 is about 7531.8433998590. The cubic root of 56728665 is about 384.2384789805.

The spelling of 56728665 in words is "fifty-six million, seven hundred twenty-eight thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 73 105 219 315 365 511 657 1095 1533 2467 2555 3285 4599 7401 7665 12335 17269 22203 22995 37005 51807 86345 111015 155421 180091 259035 540273 777105 900455 1260637 1620819 2701365 3781911 6303185 8104095 11345733 18909555 56728665