Search a number
-
+
4444638380 = 2257138329423
BaseRepresentation
bin1000010001110101…
…11100110010101100
3102110202101000122022
410020322330302230
533100311412010
62013012005312
7215066542250
oct41072746254
912422330568
104444638380
111980978666
12a40600838
1355aa91b50
14302418260
151b0304d55
hex108ebccac

4444638380 has 96 divisors (see below), whose sum is σ = 11626481664. Its totient is φ = 1389659904.

The previous prime is 4444638349. The next prime is 4444638383. The reversal of 4444638380 is 838364444.

It is not an unprimeable number, because it can be changed into a prime (4444638383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136349 + ... + 165771.

It is an arithmetic number, because the mean of its divisors is an integer number (121109184).

Almost surely, 24444638380 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 4444638380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813240832).

4444638380 is an abundant number, since it is smaller than the sum of its proper divisors (7181843284).

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

4444638380 is a wasteful number, since it uses less digits than its factorization.

4444638380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29535 (or 29533 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The square root of 4444638380 is about 66668.1211674665. The cubic root of 4444638380 is about 1644.1652968496.

The spelling of 4444638380 in words is "four billion, four hundred forty-four million, six hundred thirty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 83 91 130 140 166 182 260 332 364 415 455 581 830 910 1079 1162 1660 1820 2158 2324 2905 4316 5395 5810 7553 10790 11620 15106 21580 29423 30212 37765 58846 75530 117692 147115 151060 205961 294230 382499 411922 588460 764998 823844 1029805 1529996 1912495 2059610 2442109 2677493 3824990 4119220 4884218 5354986 7649980 9768436 10709972 12210545 13387465 17094763 24421090 26774930 31747417 34189526 48842180 53549860 63494834 68379052 85473815 126989668 158737085 170947630 222231919 317474170 341895260 444463838 634948340 888927676 1111159595 2222319190 4444638380