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258809208 = 23376722993
BaseRepresentation
bin11110110110100…
…01110101111000
3200000222212111020
433123101311320
51012223343313
641403102440
76261561540
oct1733216570
9600885436
10258809208
11123100209
1272811a20
1341808258
1426530320
1517ac4323
hexf6d1d78

258809208 has 64 divisors (see below), whose sum is σ = 750524160. Its totient is φ = 72838656.

The previous prime is 258809183. The next prime is 258809209. The reversal of 258809208 is 802908852.

It is a super-2 number, since 2×2588092082 = 133964412291174528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 258809208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258809209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 22752.

It is an arithmetic number, because the mean of its divisors is an integer number (11726940).

Almost surely, 2258809208 is an apocalyptic number.

258809208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258809208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375262080).

258809208 is an abundant number, since it is smaller than the sum of its proper divisors (491714952).

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

258809208 is a wasteful number, since it uses less digits than its factorization.

258809208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23076 (or 23072 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 258809208 is about 16087.5482283659. The cubic root of 258809208 is about 637.2745494219.

The spelling of 258809208 in words is "two hundred fifty-eight million, eight hundred nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 22993 45986 68979 91972 137958 160951 183944 275916 321902 482853 551832 643804 965706 1287608 1540531 1931412 3081062 3862824 4621593 6162124 9243186 10783717 12324248 18486372 21567434 32351151 36972744 43134868 64702302 86269736 129404604 258809208