Search a number
-
+
4439664 = 243343239
BaseRepresentation
bin10000111011111001110000
322100120002000
4100323321300
52114032124
6235054000
752510425
oct20737160
98316060
104439664
112562649
1215a1300
13bc5a28
14837d4c
155ca6c9
hex43be70

4439664 has 80 divisors (see below), whose sum is σ = 13094400. Its totient is φ = 1439424.

The previous prime is 4439663. The next prime is 4439671. The reversal of 4439664 is 4669344.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 4 + 48 + 311 + 92 + 64 + 64 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4439663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18457 + ... + 18695.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 24439664 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 4439664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

4439664 is an abundant number, since it is smaller than the sum of its proper divisors (8654736).

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

4439664 is a wasteful number, since it uses less digits than its factorization.

4439664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4439664 is about 2107.0510197905. The cubic root of 4439664 is about 164.3551691922.

The spelling of 4439664 in words is "four million, four hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 239 258 344 387 432 478 516 688 717 774 956 1032 1161 1434 1548 1912 2064 2151 2322 2868 3096 3824 4302 4644 5736 6192 6453 8604 9288 10277 11472 12906 17208 18576 20554 25812 30831 34416 41108 51624 61662 82216 92493 103248 123324 164432 184986 246648 277479 369972 493296 554958 739944 1109916 1479888 2219832 4439664