Search a number
-
+
64496 = 2429139
BaseRepresentation
bin1111101111110000
310021110202
433233300
54030441
61214332
7356015
oct175760
9107422
1064496
1144503
12313a8
1323483
141970c
151419b
hexfbf0

64496 has 20 divisors (see below), whose sum is σ = 130200. Its totient is φ = 30912.

The previous prime is 64489. The next prime is 64499. The reversal of 64496 is 69446.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

264496 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 64496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100).

64496 is an abundant number, since it is smaller than the sum of its proper divisors (65704).

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

64496 is a wasteful number, since it uses less digits than its factorization.

64496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 64496 is about 253.9606268696. The cubic root of 64496 is about 40.1030675323.

Subtracting 64496 from its reverse (69446), we obtain a triangular number (4950 = T99).

The spelling of 64496 in words is "sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 58 116 139 232 278 464 556 1112 2224 4031 8062 16124 32248 64496