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68058648 = 233272101191
BaseRepresentation
bin1000000111001…
…11111000011000
311202001201220200
410003213320120
5114410334043
610430422200
71454326500
oct403477030
9152051820
1068058648
1135465519
121a961960
131113bcb8
149078a00
155e957d3
hex40e7e18

68058648 has 144 divisors (see below), whose sum is σ = 217676160. Its totient is φ = 19152000.

The previous prime is 68058643. The next prime is 68058649. The reversal of 68058648 is 84685086.

68058648 is a `hidden beast` number, since 68 + 0 + 586 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68058643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356233 + ... + 356423.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640).

Almost surely, 268058648 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 68058648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108838080).

68058648 is an abundant number, since it is smaller than the sum of its proper divisors (149617512).

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

68058648 is a wasteful number, since it uses less digits than its factorization.

68058648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 68058648 is about 8249.7665421514. The cubic root of 68058648 is about 408.2828200553.

The spelling of 68058648 in words is "sixty-eight million, fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 101 126 147 168 191 196 202 252 294 303 382 392 404 441 504 573 588 606 707 764 808 882 909 1146 1176 1212 1337 1414 1528 1719 1764 1818 2121 2292 2424 2674 2828 3438 3528 3636 4011 4242 4584 4949 5348 5656 6363 6876 7272 8022 8484 9359 9898 10696 12033 12726 13752 14847 16044 16968 18718 19291 19796 24066 25452 28077 29694 32088 37436 38582 39592 44541 48132 50904 56154 57873 59388 74872 77164 84231 89082 96264 112308 115746 118776 135037 154328 168462 173619 178164 224616 231492 270074 336924 347238 356328 405111 462984 540148 673848 694476 810222 945259 1080296 1215333 1388952 1620444 1890518 2430666 2835777 3240888 3781036 4861332 5671554 7562072 8507331 9722664 11343108 17014662 22686216 34029324 68058648