Search a number
-
+
483696048 = 24311367113
BaseRepresentation
bin11100110101001…
…001110110110000
31020201011022020110
4130311021312300
51442311233143
6115555141320
714662230363
oct3465116660
91221138213
10483696048
11229041000
12115ba4840
13792970a4
14483500da
152c6e7533
hex1cd49db0

483696048 has 160 divisors (see below), whose sum is σ = 1407267072. Its totient is φ = 143109120.

The previous prime is 483696041. The next prime is 483696061. The reversal of 483696048 is 840696384.

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

It is a junction number, because it is equal to n+sod(n) for n = 483695988 and 483696006.

It is not an unprimeable number, because it can be changed into a prime (483696041) 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, 4280440 + ... + 4280552.

Almost surely, 2483696048 is an apocalyptic number.

483696048 is a gapful number since it is divisible by the number (48) 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 483696048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703633536).

483696048 is an abundant number, since it is smaller than the sum of its proper divisors (923571024).

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

483696048 is a wasteful number, since it uses less digits than its factorization.

483696048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 483696048 is about 21993.0909151033. The cubic root of 483696048 is about 784.9780501523.

483696048 divided by its sum of digits (48) gives a palindrome (10077001).

The spelling of 483696048 in words is "four hundred eighty-three million, six hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 113 121 132 134 176 201 226 242 264 268 339 363 402 452 484 528 536 678 726 737 804 904 968 1072 1243 1331 1356 1452 1474 1608 1808 1936 2211 2486 2662 2712 2904 2948 3216 3729 3993 4422 4972 5324 5424 5808 5896 7458 7571 7986 8107 8844 9944 10648 11792 13673 14916 15142 15972 16214 17688 19888 21296 22713 24321 27346 29832 30284 31944 32428 35376 41019 45426 48642 54692 59664 60568 63888 64856 82038 83281 89177 90852 97284 109384 121136 129712 150403 164076 166562 178354 181704 194568 218768 249843 267531 300806 328152 333124 356708 363408 389136 451209 499686 535062 601612 656304 666248 713416 902418 916091 999372 1070124 1203224 1332496 1426832 1804836 1832182 1998744 2140248 2406448 2748273 3609672 3664364 3997488 4280496 5496546 7219344 7328728 10077001 10993092 14657456 20154002 21986184 30231003 40308004 43972368 60462006 80616008 120924012 161232016 241848024 483696048