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506120256 = 2632878681
BaseRepresentation
bin11110001010101…
…100100001000000
31022021100120110200
4132022230201000
52014031322011
6122115525200
715353644155
oct3612544100
91267316420
10506120256
1123a767704
121215b9800
1380b18a55
144b30a22c
152e676856
hex1e2ac840

506120256 has 42 divisors (see below), whose sum is σ = 1450703982. Its totient is φ = 168706560.

The previous prime is 506120249. The next prime is 506120261. The reversal of 506120256 is 652021605.

It can be written as a sum of positive squares in only one way, i.e., 295289856 + 210830400 = 17184^2 + 14520^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 438765 + ... + 439916.

It is an arithmetic number, because the mean of its divisors is an integer number (34540571).

Almost surely, 2506120256 is an apocalyptic number.

It is an amenable number.

506120256 is an abundant number, since it is smaller than the sum of its proper divisors (944583726).

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

506120256 is a wasteful number, since it uses less digits than its factorization.

506120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878699 (or 878686 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 506120256 is about 22497.1166152465. The cubic root of 506120256 is about 796.9258353544.

The spelling of 506120256 in words is "five hundred six million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 878681 1757362 2636043 3514724 5272086 7029448 7908129 10544172 14058896 15816258 21088344 28117792 31632516 42176688 56235584 63265032 84353376 126530064 168706752 253060128 506120256