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4486093380 = 22325109373613
BaseRepresentation
bin1000010110110010…
…00101101001000100
3102120122101011012200
410023121011221010
533141414442010
62021052314500
7216112110306
oct41331055104
912518334180
104486093380
1119a231239a
12a52472a30
13566547a32
14307b29976
151b3c92cc0
hex10b645a44

4486093380 has 144 divisors (see below), whose sum is σ = 13791938160. Its totient is φ = 1180210176.

The previous prime is 4486093357. The next prime is 4486093393. The reversal of 4486093380 is 833906844.

4486093380 is a `hidden beast` number, since 4 + 4 + 8 + 609 + 3 + 38 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 422795844 + 4063297536 = 20562^2 + 63744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7317954 + ... + 7318566.

Almost surely, 24486093380 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 4486093380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895969080).

4486093380 is an abundant number, since it is smaller than the sum of its proper divisors (9305844780).

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

4486093380 is a wasteful number, since it uses less digits than its factorization.

4486093380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4486093380 is about 66978.3052935800. The cubic root of 4486093380 is about 1649.2611788690.

The spelling of 4486093380 in words is "four billion, four hundred eighty-six million, ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 373 436 545 613 654 746 981 1090 1119 1226 1308 1492 1635 1839 1865 1962 2180 2238 2452 3065 3270 3357 3678 3730 3924 4476 4905 5517 5595 6130 6540 6714 7356 7460 9195 9810 11034 11190 12260 13428 16785 18390 19620 22068 22380 27585 33570 36780 40657 55170 66817 67140 81314 110340 121971 133634 162628 200451 203285 228649 243942 267268 334085 365913 400902 406570 457298 487884 601353 609855 668170 685947 731826 801804 813140 914596 1002255 1143245 1202706 1219710 1336340 1371894 1463652 1829565 2004510 2057841 2286490 2405412 2439420 2743788 3006765 3429735 3659130 4009020 4115682 4572980 6013530 6859470 7318260 8231364 10289205 12027060 13718940 20578410 24922741 41156820 49845482 74768223 99690964 124613705 149536446 224304669 249227410 299072892 373841115 448609338 498454820 747682230 897218676 1121523345 1495364460 2243046690 4486093380