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64483328 = 212713173
BaseRepresentation
bin1111010111111…
…1000000000000
311111100002111102
43311333000000
5113001431303
610222033532
71412046020
oct365770000
9144302442
1064483328
1133443308
12197188a8
1310489820
1487c7a80
1559db288
hex3d7f000

64483328 has 104 divisors (see below), whose sum is σ = 159626208. Its totient is φ = 25362432.

The previous prime is 64483303. The next prime is 64483373. The reversal of 64483328 is 82338446.

It is a tau number, because it is divible by the number of its divisors (104).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 64483291 and 64483300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372650 + ... + 372822.

Almost surely, 264483328 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 64483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79813104).

64483328 is an abundant number, since it is smaller than the sum of its proper divisors (95142880).

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

64483328 is a wasteful number, since it uses less digits than its factorization.

64483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 64483328 is about 8030.1511816404. The cubic root of 64483328 is about 401.0044091281.

The spelling of 64483328 in words is "sixty-four million, four hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 173 182 208 224 256 346 364 416 448 512 692 728 832 896 1024 1211 1384 1456 1664 1792 2048 2249 2422 2768 2912 3328 3584 4096 4498 4844 5536 5824 6656 7168 8996 9688 11072 11648 13312 14336 15743 17992 19376 22144 23296 26624 28672 31486 35984 38752 44288 46592 53248 62972 71968 77504 88576 93184 125944 143936 155008 177152 186368 251888 287872 310016 354304 372736 503776 575744 620032 708608 1007552 1151488 1240064 2015104 2302976 2480128 4030208 4605952 4960256 8060416 9211904 16120832 32241664 64483328