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65648 = 2411373
BaseRepresentation
bin10000000001110000
310100001102
4100001300
54100043
61223532
7362252
oct200160
9110042
1065648
1145360
1231ba8
1323b5b
1419cd2
15146b8
hex10070

65648 has 20 divisors (see below), whose sum is σ = 139128. Its totient is φ = 29760.

The previous prime is 65647. The next prime is 65651. The reversal of 65648 is 84656.

It is a super-3 number, since 3×656483 = 848761660133376, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65648.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65648.

It is not an unprimeable number, because it can be changed into a prime (65647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 362.

265648 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 65648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69564).

65648 is an abundant number, since it is smaller than the sum of its proper divisors (73480).

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

65648 is a wasteful number, since it uses less digits than its factorization.

65648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 65648 is about 256.2186566197. The cubic root of 65648 is about 40.3404278363.

The spelling of 65648 in words is "sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 373 746 1492 2984 4103 5968 8206 16412 32824 65648