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485984256 = 211383953
BaseRepresentation
bin11100111101111…
…000100000000000
31020212110120001220
4130331320200000
51443402444011
6120120155040
715020540502
oct3475704000
91225416056
10485984256
1122a36418a
12116908a80
13798b8764
1448787d72
152c9ea506
hex1cf78800

485984256 has 96 divisors (see below), whose sum is σ = 1312627680. Its totient is φ = 159875072.

The previous prime is 485984251. The next prime is 485984267. The reversal of 485984256 is 652489584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 485984199 and 485984208.

It is not an unprimeable number, because it can be changed into a prime (485984251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509476 + ... + 510428.

It is an arithmetic number, because the mean of its divisors is an integer number (13673205).

Almost surely, 2485984256 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 485984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656313840).

485984256 is an abundant number, since it is smaller than the sum of its proper divisors (826643424).

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

485984256 is an equidigital number, since it uses as much as digits as its factorization.

485984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1041 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 485984256 is about 22045.0506009852. The cubic root of 485984256 is about 786.2139282631.

The spelling of 485984256 in words is "four hundred eighty-five million, nine hundred eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 953 996 1024 1328 1536 1906 1992 2048 2656 2859 3072 3812 3984 5312 5718 6144 7624 7968 10624 11436 15248 15936 21248 22872 30496 31872 42496 45744 60992 63744 79099 84992 91488 121984 127488 158198 169984 182976 237297 243968 254976 316396 365952 474594 487936 509952 632792 731904 949188 975872 1265584 1463808 1898376 1951744 2531168 2927616 3796752 5062336 5855232 7593504 10124672 15187008 20249344 30374016 40498688 60748032 80997376 121496064 161994752 242992128 485984256