Search a number
-
+
56909385 = 365131201
BaseRepresentation
bin1101100100010…
…1111001001001
310222002022000000
43121011321021
5104032100020
65351433213
71260502401
oct331057111
9128068000
1056909385
112a13a955
1217085809
13ba372c0
1477b5801
154ee2090
hex3645e49

56909385 has 56 divisors (see below), whose sum is σ = 110358024. Its totient is φ = 27993600.

The previous prime is 56909381. The next prime is 56909417. The reversal of 56909385 is 58390965.

56909385 is a `hidden beast` number, since 569 + 0 + 9 + 3 + 85 = 666.

56909385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3370896 + 53538489 = 1836^2 + 7317^2 .

It is not a de Polignac number, because 56909385 - 22 = 56909381 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 56909385.

It is not an unprimeable number, because it can be changed into a prime (56909381) 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 55 ways as a sum of consecutive naturals, for example, 46785 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (1970679).

Almost surely, 256909385 is an apocalyptic number.

It is an amenable number.

56909385 is a deficient number, since it is larger than the sum of its proper divisors (53448639).

56909385 is a wasteful number, since it uses less digits than its factorization.

56909385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 56909385 is about 7543.8309233439. The cubic root of 56909385 is about 384.6460681623.

The spelling of 56909385 in words is "fifty-six million, nine hundred nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 729 1053 1201 1215 1755 3159 3603 3645 5265 6005 9477 10809 15613 15795 18015 32427 46839 47385 54045 78065 97281 140517 162135 234195 291843 421551 486405 702585 875529 1264653 1459215 2107755 3793959 4377645 6323265 11381877 18969795 56909385