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6464 = 26101
BaseRepresentation
bin1100101000000
322212102
41211000
5201324
645532
724563
oct14500
98772
106464
114947
1238a8
132c33
1424da
151dae
hex1940

6464 has 14 divisors (see below), whose sum is σ = 12954. Its totient is φ = 3200.

The previous prime is 6451. The next prime is 6469. The reversal of 6464 is 4646.

It can be divided in two parts, 64 and 64, that added together give a 7-th power (128 = 27).

It can be written as a sum of positive squares in only one way, i.e., 6400 + 64 = 80^2 + 8^2 .

6464 is an undulating number in base 10.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6469) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14 + ... + 114.

26464 is an apocalyptic number.

6464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6477).

6464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

6464 is a wasteful number, since it uses less digits than its factorization.

6464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 6464 is about 80.3990049690. The cubic root of 6464 is about 18.6280380312.

The spelling of 6464 in words is "six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464