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258194000 = 2453129097
BaseRepresentation
bin11110110001110…
…11101001010000
3122222211121120202
433120323221100
51012044202000
641341554332
76253420121
oct1730735120
9588747522
10258194000
1112281aa79
12725759a8
134165121c
1426410048
1517a01dd5
hexf63ba50

258194000 has 40 divisors (see below), whose sum is σ = 624317928. Its totient is φ = 103276800.

The previous prime is 258193981. The next prime is 258194017. The reversal of 258194000 is 491852.

It can be written as a sum of positive squares in 4 ways, for example, as 24960016 + 233233984 = 4996^2 + 15272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62549 + ... + 66548.

Almost surely, 2258194000 is an apocalyptic number.

258194000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258194000 is an abundant number, since it is smaller than the sum of its proper divisors (366123928).

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

258194000 is a wasteful number, since it uses less digits than its factorization.

258194000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129120 (or 129104 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 258194000 is about 16068.4162256272. The cubic root of 258194000 is about 636.7691997300.

The spelling of 258194000 in words is "two hundred fifty-eight million, one hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 129097 258194 516388 645485 1032776 1290970 2065552 2581940 3227425 5163880 6454850 10327760 12909700 16137125 25819400 32274250 51638800 64548500 129097000 258194000