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258081000 = 2335386027
BaseRepresentation
bin11110110001000…
…00000011101000
3122222121212120120
433120200003220
51012032043000
641335323240
76252436512
oct1730400350
9588555516
10258081000
11122753091
1272520520
1341611968
14263c0bb2
15179cd6a0
hexf6200e8

258081000 has 64 divisors (see below), whose sum is σ = 805222080. Its totient is φ = 68820800.

The previous prime is 258080989. The next prime is 258081017. The reversal of 258081000 is 180852.

It is a super-2 number, since 2×2580810002 = 133211605122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 40014 + ... + 46013.

It is an arithmetic number, because the mean of its divisors is an integer number (12581595).

Almost surely, 2258081000 is an apocalyptic number.

258081000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258081000 is an abundant number, since it is smaller than the sum of its proper divisors (547141080).

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

258081000 is a wasteful number, since it uses less digits than its factorization.

258081000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86051 (or 86037 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 258081000 is about 16064.8996262037. The cubic root of 258081000 is about 636.6762910137.

The spelling of 258081000 in words is "two hundred fifty-eight million, eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 86027 172054 258081 344108 430135 516162 688216 860270 1032324 1290405 1720540 2064648 2150675 2580810 3441080 4301350 5161620 6452025 8602700 10323240 10753375 12904050 17205400 21506750 25808100 32260125 43013500 51616200 64520250 86027000 129040500 258081000