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64788 = 2235399
BaseRepresentation
bin1111110100010100
310021212120
433310110
54033123
61215540
7356613
oct176424
9107776
1064788
1144749
12315b0
1323649
141987a
15142e3
hexfd14

64788 has 12 divisors (see below), whose sum is σ = 151200. Its totient is φ = 21592.

The previous prime is 64783. The next prime is 64793. The reversal of 64788 is 88746.

It is an interprime number because it is at equal distance from previous prime (64783) and next prime (64793).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 64788.

It is not an unprimeable number, because it can be changed into a prime (64781) by changing a digit.

64788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2688 + ... + 2711.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

264788 is an apocalyptic number.

It is an amenable number.

64788 is an abundant number, since it is smaller than the sum of its proper divisors (86412).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

64788 is a wasteful number, since it uses less digits than its factorization.

64788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5404 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 64788 is about 254.5348699098. The cubic root of 64788 is about 40.1634974706.

The spelling of 64788 in words is "sixty-four thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 12 5399 10798 16197 21596 32394 64788