Search a number
-
+
483796560 = 243513295347
BaseRepresentation
bin11100110101100…
…010011001010000
31020201100102010010
4130311202121100
51442322442220
6120001234520
714663126412
oct3465423120
91221312103
10483796560
112290aa575
12116032a40
1379300a70
14483789b2
152c7171e0
hex1cd62650

483796560 has 160 divisors (see below), whose sum is σ = 1671143040. Its totient is φ = 114960384.

The previous prime is 483796549. The next prime is 483796567. The reversal of 483796560 is 65697384.

It is a super-4 number, since 4×4837965604 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483796567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 87807 + ... + 93153.

It is an arithmetic number, because the mean of its divisors is an integer number (10444644).

Almost surely, 2483796560 is an apocalyptic number.

483796560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483796560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835571520).

483796560 is an abundant number, since it is smaller than the sum of its proper divisors (1187346480).

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

483796560 is a wasteful number, since it uses less digits than its factorization.

483796560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 483796560 is about 21995.3758776703. The cubic root of 483796560 is about 785.0324191785.

The spelling of 483796560 in words is "four hundred eighty-three million, seven hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1131 1160 1392 1508 1560 1740 1885 2262 2320 3016 3120 3480 3770 4524 5347 5655 6032 6960 7540 9048 10694 11310 15080 16041 18096 21388 22620 26735 30160 32082 42776 45240 53470 64164 69511 80205 85552 90480 106940 128328 139022 155063 160410 208533 213880 256656 278044 310126 320820 347555 417066 427760 465189 556088 620252 641640 695110 775315 834132 930378 1042665 1112176 1240504 1283280 1390220 1550630 1668264 1860756 2015819 2085330 2325945 2481008 2780440 3101260 3336528 3721512 4031638 4170660 4651890 5560880 6047457 6202520 7443024 8063276 8341320 9303780 10079095 12094914 12405040 16126552 16682640 18607560 20158190 24189828 30237285 32253104 37215120 40316380 48379656 60474570 80632760 96759312 120949140 161265520 241898280 483796560