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258919992 = 233219474027
BaseRepresentation
bin11110110111011…
…00111000111000
3200001012111110100
433123230320320
51012240414432
641405315400
76262532532
oct1733547070
9601174410
10258919992
11123176471
1272865b60
13418467c6
142655c852
1517ae707c
hexf6ece38

258919992 has 96 divisors (see below), whose sum is σ = 754041600. Its totient is φ = 80004672.

The previous prime is 258919981. The next prime is 258920023. The reversal of 258919992 is 299919852.

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 23 ways as a sum of consecutive naturals, for example, 62283 + ... + 66309.

It is an arithmetic number, because the mean of its divisors is an integer number (7854600).

Almost surely, 2258919992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258919992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377020800).

258919992 is an abundant number, since it is smaller than the sum of its proper divisors (495121608).

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

258919992 is a wasteful number, since it uses less digits than its factorization.

258919992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4098 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 258919992 is about 16090.9910198222. The cubic root of 258919992 is about 637.3654654975.

The spelling of 258919992 in words is "two hundred fifty-eight million, nine hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 47 57 72 76 94 114 141 152 171 188 228 282 342 376 423 456 564 684 846 893 1128 1368 1692 1786 2679 3384 3572 4027 5358 7144 8037 8054 10716 12081 16074 16108 21432 24162 32148 32216 36243 48324 64296 72486 76513 96648 144972 153026 189269 229539 289944 306052 378538 459078 567807 612104 688617 757076 918156 1135614 1377234 1514152 1703421 1836312 2271228 2754468 3406842 3596111 4542456 5508936 6813684 7192222 10788333 13627368 14384444 21576666 28768888 32364999 43153332 64729998 86306664 129459996 258919992