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475046325 = 3252133312
BaseRepresentation
bin11100010100001…
…010000110110101
31020002212212001100
4130110022012311
51433102440300
6115045520313
714525553465
oct3424120665
91202785040
10475046325
11224173376
12113113099
1377559000
144713bba5
152ba89700
hex1c50a1b5

475046325 has 108 divisors (see below), whose sum is σ = 952426020. Its totient is φ = 226324800.

The previous prime is 475046323. The next prime is 475046339. The reversal of 475046325 is 523640574.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 385062129 + 89984196 = 19623^2 + 9486^2 .

It is not a de Polignac number, because 475046325 - 21 = 475046323 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 475046325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475046323) 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 107 ways as a sum of consecutive naturals, for example, 15324060 + ... + 15324090.

Almost surely, 2475046325 is an apocalyptic number.

475046325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

475046325 is an abundant number, since it is smaller than the sum of its proper divisors (477379695).

475046325 is a wasteful number, since it uses less digits than its factorization.

475046325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 475046325 is about 21795.5574601798. The cubic root of 475046325 is about 780.2707393484.

Adding to 475046325 its reverse (523640574), we get a palindrome (998686899).

The spelling of 475046325 in words is "four hundred seventy-five million, forty-six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 31 39 45 65 75 93 117 155 169 195 225 279 325 403 465 507 585 775 845 961 975 1209 1395 1521 2015 2197 2325 2535 2883 2925 3627 4225 4805 5239 6045 6591 6975 7605 8649 10075 10985 12493 12675 14415 15717 18135 19773 24025 26195 30225 32955 37479 38025 43245 47151 54925 62465 68107 72075 78585 90675 98865 112437 130975 162409 164775 187395 204321 216225 235755 312325 340535 392925 487227 494325 562185 612963 812045 936975 1021605 1178775 1461681 1702675 2111317 2436135 2810925 3064815 4060225 5108025 6333951 7308405 10556585 12180675 15324075 19001853 31669755 36542025 52782925 95009265 158348775 475046325