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69886368 = 2533471721
BaseRepresentation
bin1000010101001…
…10000110100000
311212111121002000
410022212012200
5120342330433
610533524000
71506011226
oct412460640
9155447060
1069886368
11364a3732
121b4a3600
131162bba6
1493d2b16
156207113
hex42a61a0

69886368 has 96 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 22786560.

The previous prime is 69886363. The next prime is 69886381. The reversal of 69886368 is 86368896.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (69886363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39748 + ... + 41468.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 269886368 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 69886368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

69886368 is an abundant number, since it is smaller than the sum of its proper divisors (138406752).

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

69886368 is a wasteful number, since it uses less digits than its factorization.

69886368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1773 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 69886368 is about 8359.8066963298. The cubic root of 69886368 is about 411.9054044929.

The spelling of 69886368 in words is "sixty-nine million, eight hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 1721 2256 2538 3384 3442 4512 5076 5163 6768 6884 10152 10326 13536 13768 15489 20304 20652 27536 30978 40608 41304 46467 55072 61956 80887 82608 92934 123912 161774 165216 185868 242661 247824 323548 371736 485322 495648 647096 727983 743472 970644 1294192 1455966 1486944 1941288 2183949 2588384 2911932 3882576 4367898 5823864 7765152 8735796 11647728 17471592 23295456 34943184 69886368