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506010880 = 285395321
BaseRepresentation
bin11110001010010…
…001110100000000
31022021011000102201
4132022101310000
52014014322010
6122113322544
715353010244
oct3612216400
91267130381
10506010880
1123a6a2511
12121566454
1380aab02b
144b2bc424
152e65423a
hex1e291d00

506010880 has 36 divisors (see below), whose sum is σ = 1212057252. Its totient is φ = 202403840.

The previous prime is 506010871. The next prime is 506010887. The reversal of 506010880 is 88010605.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 234947584 + 271063296 = 15328^2 + 16464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506010887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 196381 + ... + 198940.

It is an arithmetic number, because the mean of its divisors is an integer number (33668257).

Almost surely, 2506010880 is an apocalyptic number.

It is an amenable number.

506010880 is an abundant number, since it is smaller than the sum of its proper divisors (706046372).

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

506010880 is an equidigital number, since it uses as much as digits as its factorization.

506010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395342 (or 395328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 506010880 is about 22494.6855946021. The cubic root of 506010880 is about 796.8684242031.

The spelling of 506010880 in words is "five hundred six million, ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 395321 790642 1581284 1976605 3162568 3953210 6325136 7906420 12650272 15812840 25300544 31625680 50601088 63251360 101202176 126502720 253005440 506010880