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506645055 = 32572229771
BaseRepresentation
bin11110001100101…
…100101000111111
31022022100020100200
4132030230220333
52014200120210
6122135054543
715361261200
oct3614545077
91268306320
10506645055
1123aa95a24
12121811453
1380c70897
144b4055a7
152e72c0c0
hex1e32ca3f

506645055 has 36 divisors (see below), whose sum is σ = 1021566312. Its totient is φ = 231608160.

The previous prime is 506645023. The next prime is 506645057. The reversal of 506645055 is 550546605.

It is a happy number.

506645055 is a `hidden beast` number, since 5 + 0 + 6 + 645 + 0 + 5 + 5 = 666.

It is not a de Polignac number, because 506645055 - 25 = 506645023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506645057) 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 35 ways as a sum of consecutive naturals, for example, 112681 + ... + 117090.

It is an arithmetic number, because the mean of its divisors is an integer number (28376842).

Almost surely, 2506645055 is an apocalyptic number.

506645055 is an abundant number, since it is smaller than the sum of its proper divisors (514921257).

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

506645055 is a wasteful number, since it uses less digits than its factorization.

506645055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229796 (or 229786 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 506645055 is about 22508.7772879826. Note that the first 3 decimals coincide. The cubic root of 506645055 is about 797.2011858639.

The spelling of 506645055 in words is "five hundred six million, six hundred forty-five thousand, fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 229771 689313 1148855 1608397 2067939 3446565 4825191 8041985 10339695 11258779 14475573 24125955 33776337 56293895 72377865 101329011 168881685 506645055