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483296256 = 210322292
BaseRepresentation
bin11100110011101…
…000010000000000
31020200101222211100
4130303220100000
51442210440011
6115542414400
714655643662
oct3463502000
91220358740
10483296256
112288986a3
12115a31400
1379187121
1448288532
152c668d56
hex1cce8400

483296256 has 99 divisors (see below), whose sum is σ = 1401627981. Its totient is φ = 160395264.

The previous prime is 483296249. The next prime is 483296267. The reversal of 483296256 is 652692384.

The square root of 483296256 is 21984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 450118656 + 33177600 = 21216^2 + 5760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2110350 + ... + 2110578.

Almost surely, 2483296256 is an apocalyptic number.

483296256 is the 21984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483296256

483296256 is an abundant number, since it is smaller than the sum of its proper divisors (918331725).

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

483296256 is an equidigital number, since it uses as much as digits as its factorization.

483296256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 234 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 483296256 is about 784.7617197737.

The spelling of 483296256 in words is "four hundred eighty-three million, two hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 256 288 384 458 512 576 687 768 916 1024 1152 1374 1536 1832 2061 2304 2748 3072 3664 4122 4608 5496 7328 8244 9216 10992 14656 16488 21984 29312 32976 43968 52441 58624 65952 87936 104882 117248 131904 157323 175872 209764 234496 263808 314646 351744 419528 471969 527616 629292 703488 839056 943938 1055232 1258584 1678112 1887876 2110464 2517168 3356224 3775752 5034336 6712448 7551504 10068672 13424896 15103008 20137344 26849792 30206016 40274688 53699584 60412032 80549376 120824064 161098752 241648128 483296256