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65296 = 2471153
BaseRepresentation
bin1111111100010000
310022120101
433330100
54042141
61222144
7361240
oct177420
9108511
1065296
1145070
1231954
132394a
1419b20
1514531
hexff10

65296 has 40 divisors (see below), whose sum is σ = 160704. Its totient is φ = 24960.

The previous prime is 65293. The next prime is 65309. The reversal of 65296 is 69256.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206 + ... + 1258.

265296 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 65296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

65296 is an abundant number, since it is smaller than the sum of its proper divisors (95408).

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

65296 is a wasteful number, since it uses less digits than its factorization.

65296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 65296 is about 255.5308200590. The cubic root of 65296 is about 40.2681977304.

65296 divided by its sum of digits (28) gives a palindrome (2332).

It can be divided in two parts, 65 and 296, that added together give a square (361 = 192).

The spelling of 65296 in words is "sixty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 53 56 77 88 106 112 154 176 212 308 371 424 583 616 742 848 1166 1232 1484 2332 2968 4081 4664 5936 8162 9328 16324 32648 65296