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465285825 = 32522067937
BaseRepresentation
bin11011101110111…
…011001011000001
31012102111222011100
4123232323023001
51423103121300
6114100405013
714346602304
oct3356731301
91172458140
10465285825
11219707144
1210b9a6769
137551c474
1445b1ab3b
152acac700
hex1bbbb2c1

465285825 has 18 divisors (see below), whose sum is σ = 833379014. Its totient is φ = 248152320.

The previous prime is 465285811. The next prime is 465285827. The reversal of 465285825 is 528582564.

It is a happy number.

465285825 is a `hidden beast` number, since 4 + 65 + 2 + 8 + 582 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 79281216 + 386004609 = 8904^2 + 19647^2 .

It is not a de Polignac number, because 465285825 - 27 = 465285697 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 (465285827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1033744 + ... + 1034193.

Almost surely, 2465285825 is an apocalyptic number.

465285825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465285825 is a deficient number, since it is larger than the sum of its proper divisors (368093189).

465285825 is a wasteful number, since it uses less digits than its factorization.

465285825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067953 (or 2067945 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 465285825 is about 21570.4850432252. The cubic root of 465285825 is about 774.8897935557.

The spelling of 465285825 in words is "four hundred sixty-five million, two hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2067937 6203811 10339685 18611433 31019055 51698425 93057165 155095275 465285825