[go: up one dir, main page]

Search a number
-
+
4448696980 = 2257137930941
BaseRepresentation
bin1000010010010100…
…11011101010010100
3102111001000012222211
410021022123222110
533102331300410
62013235003204
7215146205020
oct41112335224
912431005884
104448696980
11198319a982
12a41a39504
1355b8832a0
14302b93380
151b085768a
hex10929ba94

4448696980 has 96 divisors (see below), whose sum is σ = 11644093440. Its totient is φ = 1390072320.

The previous prime is 4448696977. The next prime is 4448696981. The reversal of 4448696980 is 896968444.

It is a super-2 number, since 2×44486969802 = 39581809639722240800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4448696981) 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, 128310 + ... + 159250.

It is an arithmetic number, because the mean of its divisors is an integer number (121292640).

Almost surely, 24448696980 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 4448696980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822046720).

4448696980 is an abundant number, since it is smaller than the sum of its proper divisors (7195396460).

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

4448696980 is a wasteful number, since it uses less digits than its factorization.

4448696980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31049 (or 31047 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The square root of 4448696980 is about 66698.5530577688. The cubic root of 4448696980 is about 1644.6655984558.

The spelling of 4448696980 in words is "four billion, four hundred forty-eight million, six hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 79 91 130 140 158 182 260 316 364 395 455 553 790 910 1027 1106 1580 1820 2054 2212 2765 4108 5135 5530 7189 10270 11060 14378 20540 28756 30941 35945 61882 71890 123764 143780 154705 216587 309410 402233 433174 618820 804466 866348 1082935 1608932 2011165 2165870 2444339 2815631 4022330 4331740 4888678 5631262 8044660 9777356 11262524 12221695 14078155 17110373 24443390 28156310 31776407 34220746 48886780 56312620 63552814 68441492 85551865 127105628 158882035 171103730 222434849 317764070 342207460 444869698 635528140 889739396 1112174245 2224348490 4448696980