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258474568 = 231161179269
BaseRepresentation
bin11110110100000…
…00001001001000
3200000100212110011
433122000021020
51012132141233
641352001304
76255666112
oct1732001110
9600325404
10258474568
111229a1850
1272690234
134171bb41
14264843b2
1517a5a0cd
hexf680248

258474568 has 64 divisors (see below), whose sum is σ = 542376000. Its totient is φ = 114489600.

The previous prime is 258474553. The next prime is 258474569. The reversal of 258474568 is 865474852.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (258474569) 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, 960738 + ... + 961006.

It is an arithmetic number, because the mean of its divisors is an integer number (8474625).

Almost surely, 2258474568 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 258474568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271188000).

258474568 is an abundant number, since it is smaller than the sum of its proper divisors (283901432).

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

258474568 is a wasteful number, since it uses less digits than its factorization.

258474568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 49.

The square root of 258474568 is about 16077.1442737820. The cubic root of 258474568 is about 636.9997658766. Note that the first 3 decimals are identical.

The spelling of 258474568 in words is "two hundred fifty-eight million, four hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 61 88 122 179 244 269 358 488 538 671 716 1076 1342 1432 1969 2152 2684 2959 3938 5368 5918 7876 10919 11836 15752 16409 21838 23672 32818 43676 48151 65636 87352 96302 120109 131272 180499 192604 240218 360998 385208 480436 529661 721996 960872 1059322 1443992 2118644 2937211 4237288 5874422 11748844 23497688 32309321 64618642 129237284 258474568