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258025408 = 2623592971
BaseRepresentation
bin11110110000100…
…10011111000000
3122222112001022121
433120102133000
51012023303113
641334214024
76252115444
oct1730223700
9588461277
10258025408
11122715343
12724b4314
13415c2574
14263a8824
15179bbe8d
hexf6127c0

258025408 has 56 divisors (see below), whose sum is σ = 543519360. Its totient is φ = 121271040.

The previous prime is 258025393. The next prime is 258025409. The reversal of 258025408 is 804520852.

It is a super-2 number, since 2×2580254082 = 133154222347132928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258025409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85363 + ... + 88333.

Almost surely, 2258025408 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 258025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271759680).

258025408 is an abundant number, since it is smaller than the sum of its proper divisors (285493952).

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

258025408 is a wasteful number, since it uses less digits than its factorization.

258025408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 258025408 is about 16063.1693012307. The cubic root of 258025408 is about 636.6305732609.

The spelling of 258025408 in words is "two hundred fifty-eight million, twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 184 236 368 472 736 944 1357 1472 1888 2714 2971 3776 5428 5942 10856 11884 21712 23768 43424 47536 68333 86848 95072 136666 175289 190144 273332 350578 546664 701156 1093328 1402312 2186656 2804624 4031647 4373312 5609248 8063294 11218496 16126588 32253176 64506352 129012704 258025408