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465386085 = 32510341913
BaseRepresentation
bin11011101111010…
…011101001100101
31012102201001200200
4123233103221211
51423114323320
6114102501113
714350500513
oct3357235145
91172631620
10465386085
112197754aa
1210ba34799
1375555ca8
1445b454b3
152accc290
hex1bbd3a65

465386085 has 12 divisors (see below), whose sum is σ = 806669292. Its totient is φ = 248205888.

The previous prime is 465386069. The next prime is 465386107. The reversal of 465386085 is 580683564.

Added to its reverse (580683564) it gives a square (1046069649 = 323432).

465386085 is a `hidden beast` number, since 4 + 6 + 5 + 38 + 608 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 328987044 + 136399041 = 18138^2 + 11679^2 .

It is not a de Polignac number, because 465386085 - 24 = 465386069 is a prime.

It is a super-2 number, since 2×4653860852 = 433168416223254450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 10341913 = 465386085 / (4 + 6 + 5 + 3 + 8 + 6 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 465386085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5170912 + ... + 5171001.

It is an arithmetic number, because the mean of its divisors is an integer number (67222441).

Almost surely, 2465386085 is an apocalyptic number.

465386085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465386085 is a deficient number, since it is larger than the sum of its proper divisors (341283207).

465386085 is a wasteful number, since it uses less digits than its factorization.

465386085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341924 (or 10341921 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 465386085 is about 21572.8089269803. The cubic root of 465386085 is about 774.9454474262.

Adding to 465386085 its reverse (580683564), we get a square (1046069649 = 323432).

The spelling of 465386085 in words is "four hundred sixty-five million, three hundred eighty-six thousand, eighty-five".

Divisors: 1 3 5 9 15 45 10341913 31025739 51709565 93077217 155128695 465386085