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258054168 = 233311512297
BaseRepresentation
bin11110110000110…
…01100000011000
3122222120111202210
433120121200120
51012030213133
641334555120
76252265341
oct1730314030
9588514683
10258054168
11122734a09
1272508aa0
1341602698
14263b50c8
15179c5763
hexf619818

258054168 has 64 divisors (see below), whose sum is σ = 670648320. Its totient is φ = 82656000.

The previous prime is 258054161. The next prime is 258054193. The reversal of 258054168 is 861450852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258054161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111196 + ... + 113492.

It is an arithmetic number, because the mean of its divisors is an integer number (10478880).

Almost surely, 2258054168 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 258054168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335324160).

258054168 is an abundant number, since it is smaller than the sum of its proper divisors (412594152).

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

258054168 is a wasteful number, since it uses less digits than its factorization.

258054168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 258054168 is about 16064.0644919024. The cubic root of 258054168 is about 636.6542257315.

The spelling of 258054168 in words is "two hundred fifty-eight million, fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 151 186 248 302 372 453 604 744 906 1208 1812 2297 3624 4594 4681 6891 9188 9362 13782 14043 18376 18724 27564 28086 37448 55128 56172 71207 112344 142414 213621 284828 346847 427242 569656 693694 854484 1040541 1387388 1708968 2081082 2774776 4162164 8324328 10752257 21504514 32256771 43009028 64513542 86018056 129027084 258054168