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258112386 = 23373122027
BaseRepresentation
bin11110110001001…
…11101110000010
3122222200110122000
433120213232002
51012034044021
641340124430
76252630150
oct1730475602
9588613560
10258112386
11122774724
1272536716
134162302c
14263cc3d0
15179d7b26
hexf627b82

258112386 has 64 divisors (see below), whose sum is σ = 676700160. Its totient is φ = 71364240.

The previous prime is 258112369. The next prime is 258112403. The reversal of 258112386 is 683211852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (258112369) and next prime (258112403).

It is a super-2 number, since 2×2581123862 = 133244007613225992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258112386.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (10573440).

Almost surely, 2258112386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258112386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338350080).

258112386 is an abundant number, since it is smaller than the sum of its proper divisors (418587774).

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

258112386 is a wasteful number, since it uses less digits than its factorization.

258112386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22076 (or 22070 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 258112386 is about 16065.8764466804. The cubic root of 258112386 is about 636.7020993349.

The spelling of 258112386 in words is "two hundred fifty-eight million, one hundred twelve thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 22027 44054 66081 132162 154189 198243 308378 396486 462567 594729 682837 925134 1189458 1365674 1387701 2048511 2775402 4097022 4163103 4779859 6145533 8326206 9559718 12291066 14339577 18436599 28679154 36873198 43018731 86037462 129056193 258112386