Search a number
-
+
4441630980 = 2235731317741
BaseRepresentation
bin1000010001011110…
…11110100100000100
3102110112201020021010
410020233132210010
533044024142410
62012423322220
7215032145313
oct41057364404
912415636233
104441630980
11197a204106
12a3b5b0370
1355a27b017
14301c7427a
151aee0dc20
hex108bde904

4441630980 has 96 divisors (see below), whose sum is σ = 12704807808. Its totient is φ = 1159142400.

The previous prime is 4441630961. The next prime is 4441631011. The reversal of 4441630980 is 890361444.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569910 + ... + 577650.

It is an arithmetic number, because the mean of its divisors is an integer number (132341748).

Almost surely, 24441630980 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 4441630980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352403904).

4441630980 is an abundant number, since it is smaller than the sum of its proper divisors (8263176828).

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

4441630980 is a wasteful number, since it uses less digits than its factorization.

4441630980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4441630980 is about 66645.5623428897. The cubic root of 4441630980 is about 1643.7943796564.

The spelling of 4441630980 in words is "four billion, four hundred forty-one million, six hundred thirty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 131 146 219 262 292 365 393 438 524 655 730 786 876 1095 1310 1460 1572 1965 2190 2620 3930 4380 7741 7860 9563 15482 19126 23223 28689 30964 38252 38705 46446 47815 57378 77410 92892 95630 114756 116115 143445 154820 191260 232230 286890 464460 565093 573780 1014071 1130186 1695279 2028142 2260372 2825465 3042213 3390558 4056284 5070355 5650930 6084426 6781116 8476395 10140710 11301860 12168852 15211065 16952790 20281420 30422130 33905580 60844260 74027183 148054366 222081549 296108732 370135915 444163098 740271830 888326196 1110407745 1480543660 2220815490 4441630980