Search a number
-
+
4538496 = 27353223
BaseRepresentation
bin10001010100000010000000
322112120122110
4101110002000
52130212441
6241135320
753401524
oct21240200
98476573
104538496
11261a926
12162a540
13c2ba01
14861d84
155e9b16
hex454080

4538496 has 64 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1477632.

The previous prime is 4538491. The next prime is 4538497. The reversal of 4538496 is 6948354.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4538491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20241 + ... + 20463.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 24538496 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 4538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

4538496 is an abundant number, since it is smaller than the sum of its proper divisors (7799424).

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

4538496 is a wasteful number, since it uses less digits than its factorization.

4538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 4538496 is about 2130.3746149445. The cubic root of 4538496 is about 165.5658077788.

The spelling of 4538496 in words is "four million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 223 318 384 424 446 636 669 848 892 1272 1338 1696 1784 2544 2676 3392 3568 5088 5352 6784 7136 10176 10704 11819 14272 20352 21408 23638 28544 35457 42816 47276 70914 85632 94552 141828 189104 283656 378208 567312 756416 1134624 1512832 2269248 4538496