Search a number
-
+
64448 = 261953
BaseRepresentation
bin1111101111000000
310021101222
433233000
54030243
61214212
7355616
oct175700
9107358
1064448
114446a
1231368
1323447
14196b6
1514168
hexfbc0

64448 has 28 divisors (see below), whose sum is σ = 137160. Its totient is φ = 29952.

The previous prime is 64439. The next prime is 64451. The reversal of 64448 is 84446.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1190 + ... + 1242.

264448 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 64448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68580).

64448 is an abundant number, since it is smaller than the sum of its proper divisors (72712).

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

64448 is a wasteful number, since it uses less digits than its factorization.

64448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 74 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 64448 is about 253.8661064420. The cubic root of 64448 is about 40.0931163985.

It can be divided in two parts, 64 and 448, that added together give a 9-th power (512 = 29).

The spelling of 64448 in words is "sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 152 212 304 424 608 848 1007 1216 1696 2014 3392 4028 8056 16112 32224 64448