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4244430432 = 2531137108631
BaseRepresentation
bin1111110011111100…
…1101111001100000
3101221210122101222010
43330333031321200
532143033233212
61541100512520
7210116030514
oct37477157140
911853571863
104244430432
111888963450
129a554b740
13528463cc8
142c39c0144
1519c95903c
hexfcfcde60

4244430432 has 96 divisors (see below), whose sum is σ = 12483120384. Its totient is φ = 1251417600.

The previous prime is 4244430427. The next prime is 4244430433. The reversal of 4244430432 is 2340344424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4244430432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244430433) 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, 15244 + ... + 93387.

It is an arithmetic number, because the mean of its divisors is an integer number (130032504).

Almost surely, 24244430432 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 4244430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241560192).

4244430432 is an abundant number, since it is smaller than the sum of its proper divisors (8238689952).

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

4244430432 is a wasteful number, since it uses less digits than its factorization.

4244430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108692 (or 108684 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4244430432 is about 65149.2934113640. The cubic root of 4244430432 is about 1619.0980133536.

Adding to 4244430432 its reverse (2340344424), we get a palindrome (6584774856).

The spelling of 4244430432 in words is "four billion, two hundred forty-four million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072 108631 217262 325893 434524 651786 869048 1194941 1303572 1738096 2389882 2607144 3476192 3584823 4019347 4779764 5214288 7169646 8038694 9559528 10428576 12058041 14339292 16077388 19119056 24116082 28678584 32154776 38238112 44212817 48232164 57357168 64309552 88425634 96464328 114714336 128619104 132638451 176851268 192928656 265276902 353702536 385857312 530553804 707405072 1061107608 1414810144 2122215216 4244430432