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64288 = 257241
BaseRepresentation
bin1111101100100000
310021012001
433230200
54024123
61213344
7355300
oct175440
9107161
1064288
1144334
1231254
1323353
1419600
15140ad
hexfb20

64288 has 36 divisors (see below), whose sum is σ = 150822. Its totient is φ = 26880.

The previous prime is 64283. The next prime is 64301. The reversal of 64288 is 88246.

64288 is nontrivially palindromic in base 3.

64288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 784 = 252^2 + 28^2 .

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

64288 is a modest number, since divided by 288 gives 64 as remainder.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64283) by changing a digit.

64288 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 5 ways as a sum of consecutive naturals, for example, 1548 + ... + 1588.

264288 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 64288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75411).

64288 is an abundant number, since it is smaller than the sum of its proper divisors (86534).

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

64288 is a wasteful number, since it uses less digits than its factorization.

64288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 50 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 64288 is about 253.5507838678. The cubic root of 64288 is about 40.0599102243.

Subtracting from 64288 its product of digits (3072), we obtain a palindrome (61216).

The spelling of 64288 in words is "sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 1148 1312 1568 2009 2296 4018 4592 8036 9184 16072 32144 64288