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258308082 = 2337189757
BaseRepresentation
bin11110110010101…
…11011111110010
3200000001102002000
433121113133302
51012111324312
641344234430
76254403534
oct1731273762
9600042060
10258308082
1112289875a
127260ba16
1341691126
142643d854
1517a25adc
hexf6577f2

258308082 has 64 divisors (see below), whose sum is σ = 589420800. Its totient is φ = 83825280.

The previous prime is 258308069. The next prime is 258308087. The reversal of 258308082 is 280803852.

It is not an unprimeable number, because it can be changed into a prime (258308087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340848 + ... + 341604.

It is an arithmetic number, because the mean of its divisors is an integer number (9209700).

Almost surely, 2258308082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258308082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294710400).

258308082 is an abundant number, since it is smaller than the sum of its proper divisors (331112718).

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

258308082 is a wasteful number, since it uses less digits than its factorization.

258308082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258308082 is about 16071.9657167379. The cubic root of 258308082 is about 636.8629705732.

The spelling of 258308082 in words is "two hundred fifty-eight million, three hundred eight thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 71 89 142 178 213 267 426 534 639 757 801 1278 1514 1602 1917 2271 2403 3834 4542 4806 6319 6813 12638 13626 18957 20439 37914 40878 53747 56871 67373 107494 113742 134746 161241 170613 202119 322482 341226 404238 483723 606357 967446 1212714 1451169 1819071 2902338 3638142 4783483 9566966 14350449 28700898 43051347 86102694 129154041 258308082