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258993150 = 235213132817
BaseRepresentation
bin11110110111111…
…10101111111110
3200001100012210220
433123332233332
51012300240100
641411042210
76263256033
oct1733765776
9601305726
10258993150
11123216429
12728a0366
1341870bb0
142657b38a
1517b0daa0
hexf6febfe

258993150 has 48 divisors (see below), whose sum is σ = 691716144. Its totient is φ = 63751680.

The previous prime is 258993107. The next prime is 258993197. The reversal of 258993150 is 51399852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64459 + ... + 68358.

It is an arithmetic number, because the mean of its divisors is an integer number (14410753).

Almost surely, 2258993150 is an apocalyptic number.

258993150 is an abundant number, since it is smaller than the sum of its proper divisors (432722994).

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

258993150 is a wasteful number, since it uses less digits than its factorization.

258993150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132845 (or 132840 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 258993150 is about 16093.2641188791. The cubic root of 258993150 is about 637.4254891770.

The spelling of 258993150 in words is "two hundred fifty-eight million, nine hundred ninety-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 132817 265634 398451 664085 796902 1328170 1726621 1992255 3320425 3453242 3984510 5179863 6640850 8633105 9961275 10359726 17266210 19922550 25899315 43165525 51798630 86331050 129496575 258993150