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466485525 = 3252111711087
BaseRepresentation
bin11011110011100…
…000000100010101
31012111202220211200
4123303200010111
51423410014100
6114142223113
714363030052
oct3363400425
91174686750
10466485525
1121a356530
12110284a99
137584c54c
1445d50029
152ae47e00
hex1bce0115

466485525 has 72 divisors (see below), whose sum is σ = 965188224. Its totient is φ = 212851200.

The previous prime is 466485521. The next prime is 466485527. The reversal of 466485525 is 525584664.

466485525 is a `hidden beast` number, since 46 + 6 + 4 + 85 + 525 = 666.

It is not a de Polignac number, because 466485525 - 22 = 466485521 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466485521) 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 71 ways as a sum of consecutive naturals, for example, 36532 + ... + 47618.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2466485525 is an apocalyptic number.

466485525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

466485525 is an abundant number, since it is smaller than the sum of its proper divisors (498702699).

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

466485525 is a wasteful number, since it uses less digits than its factorization.

466485525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11123 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 466485525 is about 21598.2759728641. The cubic root of 466485525 is about 775.5552178195. Note that the first 3 decimals are identical.

The spelling of 466485525 in words is "four hundred sixty-six million, four hundred eighty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2475 2805 3825 4675 8415 11087 14025 33261 42075 55435 99783 121957 166305 188479 277175 365871 498915 565437 609785 831525 942395 1097613 1696311 1829355 2073269 2494575 2827185 3048925 4711975 5488065 6219807 8481555 9146775 10366345 14135925 18659421 27440325 31099035 42407775 51831725 93297105 155495175 466485525