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258585820 = 22519680489
BaseRepresentation
bin11110110100110…
…11010011011100
3200000120112001121
433122123103130
51012144221240
641354220324
76256641343
oct1732332334
9600515047
10258585820
11122a68399
12727246a4
134175a67c
14264b2b5a
1517a7d04a
hexf69b4dc

258585820 has 24 divisors (see below), whose sum is σ = 571611600. Its totient is φ = 97990272.

The previous prime is 258585797. The next prime is 258585857. The reversal of 258585820 is 28585852.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 339865 + ... + 340624.

It is an arithmetic number, because the mean of its divisors is an integer number (23817150).

Almost surely, 2258585820 is an apocalyptic number.

258585820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258585820 is an abundant number, since it is smaller than the sum of its proper divisors (313025780).

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

258585820 is a wasteful number, since it uses less digits than its factorization.

258585820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680517 (or 680515 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 43.

The square root of 258585820 is about 16080.6038443835. The cubic root of 258585820 is about 637.0911447350.

The spelling of 258585820 in words is "two hundred fifty-eight million, five hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 680489 1360978 2721956 3402445 6804890 12929291 13609780 25858582 51717164 64646455 129292910 258585820