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4385664 = 273647
BaseRepresentation
bin10000101110101110000000
322020211000000
4100232232000
52110320124
6234000000
752164123
oct20565600
98224000
104385664
112526018
121576000
13ba728a
148223ba
155b96c9
hex42eb80

4385664 has 112 divisors (see below), whose sum is σ = 13378320. Its totient is φ = 1430784.

The previous prime is 4385639. The next prime is 4385669. The reversal of 4385664 is 4665834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4385669) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93289 + ... + 93335.

Almost surely, 24385664 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 4385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689160).

4385664 is an abundant number, since it is smaller than the sum of its proper divisors (8992656).

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

4385664 is an frugal number, since it uses more digits than its factorization.

4385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4385664 is about 2094.1976984039. The cubic root of 4385664 is about 163.6860939759.

The spelling of 4385664 in words is "four million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 243 282 288 324 376 384 423 432 486 564 576 648 729 752 846 864 972 1128 1152 1269 1296 1458 1504 1692 1728 1944 2256 2538 2592 2916 3008 3384 3456 3807 3888 4512 5076 5184 5832 6016 6768 7614 7776 9024 10152 10368 11421 11664 13536 15228 15552 18048 20304 22842 23328 27072 30456 31104 34263 40608 45684 46656 54144 60912 68526 81216 91368 93312 121824 137052 162432 182736 243648 274104 365472 487296 548208 730944 1096416 1461888 2192832 4385664