Search a number
-
+
5644330432 = 26131092571
BaseRepresentation
bin1010100000110110…
…11010010111000000
3112120100210200202021
411100123122113000
543024422033212
62332025331224
7256605005566
oct52033322700
915510720667
105644330432
112437093aa4
121116336b14
136bc4a90c0
143b78a7a36
152307ce307
hex1506da5c0

5644330432 has 84 divisors (see below), whose sum is σ = 12195038856. Its totient is φ = 2576655360.

The previous prime is 5644330421. The next prime is 5644330481. The reversal of 5644330432 is 2340334465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9884707 + ... + 9885277.

It is an arithmetic number, because the mean of its divisors is an integer number (145179034).

Almost surely, 25644330432 is an apocalyptic number.

5644330432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5644330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097519428).

5644330432 is an abundant number, since it is smaller than the sum of its proper divisors (6550708424).

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

5644330432 is a wasteful number, since it uses less digits than its factorization.

5644330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The square root of 5644330432 is about 75128.7590207638. The cubic root of 5644330432 is about 1780.4815462708.

Adding to 5644330432 its reverse (2340334465), we get a palindrome (7984664897).

The spelling of 5644330432 in words is "five billion, six hundred forty-four million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 208 218 416 436 571 832 872 1142 1417 1744 2284 2834 3488 4568 5668 6976 7423 9136 11336 11881 14846 18272 22672 23762 29692 36544 45344 47524 59384 62239 90688 95048 118768 124478 154453 190096 237536 248956 308906 380192 475072 497912 617812 760384 809107 995824 1235624 1618214 1991648 2471248 3236428 3983296 4942496 6472856 6784051 9884992 12945712 13568102 25891424 27136204 51782848 54272408 88192663 108544816 176385326 217089632 352770652 434179264 705541304 1411082608 2822165216 5644330432