Search a number
-
+
484857856 = 2117311091
BaseRepresentation
bin11100111001100…
…101100000000000
31020210100022221101
4130321211200000
51443110422411
6120040104144
715005136520
oct3471454000
91223308841
10484857856
1122976497a
12116465054
13795b2b52
1448573680
152c8768c1
hex1ce65800

484857856 has 96 divisors (see below), whose sum is σ = 1144765440. Its totient is φ = 200908800.

The previous prime is 484857823. The next prime is 484857859. The reversal of 484857856 is 658758484.

It is a junction number, because it is equal to n+sod(n) for n = 484857797 and 484857806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484857859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443871 + ... + 444961.

It is an arithmetic number, because the mean of its divisors is an integer number (11924640).

Almost surely, 2484857856 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 484857856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572382720).

484857856 is an abundant number, since it is smaller than the sum of its proper divisors (659907584).

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

484857856 is a wasteful number, since it uses less digits than its factorization.

484857856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1131 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 55.

The square root of 484857856 is about 22019.4880957755. The cubic root of 484857856 is about 785.6060372053.

The spelling of 484857856 in words is "four hundred eighty-four million, eight hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1091 1736 1792 1984 2048 2182 3472 3584 3968 4364 6944 7168 7637 7936 8728 13888 14336 15274 15872 17456 27776 30548 31744 33821 34912 55552 61096 63488 67642 69824 111104 122192 135284 139648 222208 236747 244384 270568 279296 444416 473494 488768 541136 558592 946988 977536 1082272 1117184 1893976 1955072 2164544 2234368 3787952 3910144 4329088 7575904 7820288 8658176 15151808 15640576 17316352 30303616 34632704 60607232 69265408 121214464 242428928 484857856