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506982645 = 3451396293
BaseRepresentation
bin11110001101111…
…111000011110101
31022022222101110000
4132031333003311
52014241421040
6122150221513
715364165341
oct3615770365
91268871400
10506982645
112401a6624
12121954899
138105b440
144b492621
152e797130
hex1e37f0f5

506982645 has 40 divisors (see below), whose sum is σ = 978732216. Its totient is φ = 249588864.

The previous prime is 506982617. The next prime is 506982647. The reversal of 506982645 is 546289605.

506982645 is a `hidden beast` number, since 506 + 9 + 82 + 64 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 498584241 = 2898^2 + 22329^2 .

It is not a de Polignac number, because 506982645 - 25 = 506982613 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 506982645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506982647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42882 + ... + 53411.

Almost surely, 2506982645 is an apocalyptic number.

It is an amenable number.

506982645 is a deficient number, since it is larger than the sum of its proper divisors (471749571).

506982645 is a wasteful number, since it uses less digits than its factorization.

506982645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96323 (or 96314 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 506982645 is about 22516.2751137927. The cubic root of 506982645 is about 797.3782114380.

The spelling of 506982645 in words is "five hundred six million, nine hundred eighty-two thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 5265 96293 288879 481465 866637 1251809 1444395 2599911 3755427 4333185 6259045 7799733 11266281 12999555 18777135 33798843 38998665 56331405 101396529 168994215 506982645