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65685248 = 28379677
BaseRepresentation
bin1111101010010…
…0011100000000
311120121011012222
43322210130000
5113303411443
610303510212
71425213116
oct372443400
9146534188
1065685248
1134094332
1219bb8368
13107ba915
148a1bab6
155b77468
hex3ea4700

65685248 has 36 divisors (see below), whose sum is σ = 131654040. Its totient is φ = 32707584.

The previous prime is 65685247. The next prime is 65685283. The reversal of 65685248 is 84258656.

It is a junction number, because it is equal to n+sod(n) for n = 65685199 and 65685208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65685247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96686 + ... + 97362.

Almost surely, 265685248 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 65685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65827020).

65685248 is an abundant number, since it is smaller than the sum of its proper divisors (65968792).

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

65685248 is an equidigital number, since it uses as much as digits as its factorization.

65685248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 65685248 is about 8104.6436072168. The cubic root of 65685248 is about 403.4805597501.

The spelling of 65685248 in words is "sixty-five million, six hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 379 677 758 1354 1516 2708 3032 5416 6064 10832 12128 21664 24256 43328 48512 86656 97024 173312 256583 513166 1026332 2052664 4105328 8210656 16421312 32842624 65685248