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483828320 = 25559107479
BaseRepresentation
bin11100110101101…
…010001001100000
31020201102000200102
4130311222021200
51442330001240
6120002041532
714663321123
oct3465521140
91221360612
10483828320
11229121418
121160492a8
1379312361
14483863ba
152c721815
hex1cd6a260

483828320 has 96 divisors (see below), whose sum is σ = 1175731200. Its totient is φ = 188079616.

The previous prime is 483828307. The next prime is 483828341. The reversal of 483828320 is 23828384.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1009841 + ... + 1010319.

It is an arithmetic number, because the mean of its divisors is an integer number (12247200).

Almost surely, 2483828320 is an apocalyptic number.

483828320 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 483828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

483828320 is an abundant number, since it is smaller than the sum of its proper divisors (691902880).

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

483828320 is a wasteful number, since it uses less digits than its factorization.

483828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 483828320 is about 21996.0978357526. The cubic root of 483828320 is about 785.0495972558.

The spelling of 483828320 in words is "four hundred eighty-three million, eight hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 107 118 160 214 236 295 428 472 479 535 590 856 944 958 1070 1180 1712 1888 1916 2140 2360 2395 3424 3832 4280 4720 4790 6313 7664 8560 9440 9580 12626 15328 17120 19160 25252 28261 31565 38320 50504 51253 56522 63130 76640 101008 102506 113044 126260 141305 202016 205012 226088 252520 256265 282610 410024 452176 505040 512530 565220 820048 904352 1010080 1025060 1130440 1640096 2050120 2260880 3023927 4100240 4521760 6047854 8200480 12095708 15119635 24191416 30239270 48382832 60478540 96765664 120957080 241914160 483828320