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65058444 = 223311232381
BaseRepresentation
bin1111100000101…
…1011010001100
311112102022102000
43320023122030
5113123332234
610242232300
71416662523
oct370133214
9145368360
1065058444
11337a6410
1219955690
131062b529
1488d74ba
155aa1899
hex3e0b68c

65058444 has 96 divisors (see below), whose sum is σ = 192084480. Its totient is φ = 18849600.

The previous prime is 65058437. The next prime is 65058449. The reversal of 65058444 is 44485056.

65058444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×650584442 = 8465202271402272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65058399 and 65058408.

It is not an unprimeable number, because it can be changed into a prime (65058449) 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 31 ways as a sum of consecutive naturals, for example, 26134 + ... + 28514.

It is an arithmetic number, because the mean of its divisors is an integer number (2000880).

Almost surely, 265058444 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 65058444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96042240).

65058444 is an abundant number, since it is smaller than the sum of its proper divisors (127026036).

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

65058444 is a wasteful number, since it uses less digits than its factorization.

65058444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 65058444 is about 8065.8814769373. The cubic root of 65058444 is about 402.1930460654.

The spelling of 65058444 in words is "sixty-five million, fifty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2381 2484 3036 4554 4762 6831 7143 9108 9524 13662 14286 21429 26191 27324 28572 42858 52382 54763 64287 78573 85716 104764 109526 128574 157146 164289 219052 235719 257148 314292 328578 471438 492867 602393 657156 707157 942876 985734 1204786 1414314 1478601 1807179 1971468 2409572 2828628 2957202 3614358 5421537 5914404 7228716 10843074 16264611 21686148 32529222 65058444