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505558872 = 2332721373151
BaseRepresentation
bin11110001000100…
…011011101011000
31022020022001101200
4132020203131120
52013410340442
6122055514200
715346115400
oct3610433530
91266261350
10505558872
1123a413955
12121388960
1380980380
144b201800
152e5b534c
hex1e223758

505558872 has 288 divisors, whose sum is σ = 1750301280. Its totient is φ = 130636800.

The previous prime is 505558853. The next prime is 505558873. The reversal of 505558872 is 278855505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505558873) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3347997 + ... + 3348147.

It is an arithmetic number, because the mean of its divisors is an integer number (6077435).

Almost surely, 2505558872 is an apocalyptic number.

505558872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505558872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875150640).

505558872 is an abundant number, since it is smaller than the sum of its proper divisors (1244742408).

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

505558872 is a wasteful number, since it uses less digits than its factorization.

505558872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The square root of 505558872 is about 22484.6363546311. The cubic root of 505558872 is about 796.6310787096.

The spelling of 505558872 in words is "five hundred five million, five hundred fifty-eight thousand, eight hundred seventy-two".