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485813328 = 2437111310111
BaseRepresentation
bin11100111101001…
…110110001010000
31020212010212121020
4130331032301100
51443332011303
6120112355440
715016226250
oct3475166120
91225125536
10485813328
1122a257820
12116845b80
1379858a10
1448741960
152c9b4a53
hex1cf4ec50

485813328 has 160 divisors (see below), whose sum is σ = 1685225472. Its totient is φ = 116467200.

The previous prime is 485813303. The next prime is 485813347. The reversal of 485813328 is 823318584.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 485813328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42993 + ... + 53103.

Almost surely, 2485813328 is an apocalyptic number.

485813328 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 485813328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842612736).

485813328 is an abundant number, since it is smaller than the sum of its proper divisors (1199412144).

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

485813328 is a wasteful number, since it uses less digits than its factorization.

485813328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153 (or 10147 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 485813328 is about 22041.1734714829. The cubic root of 485813328 is about 786.1217430184.

The spelling of 485813328 in words is "four hundred eighty-five million, eight hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 10111 12012 16016 20222 24024 30333 40444 48048 60666 70777 80888 111221 121332 131443 141554 161776 212331 222442 242664 262886 283108 333663 394329 424662 444884 485328 525772 566216 667326 778547 788658 849324 889768 920101 1051544 1132432 1334652 1445873 1557094 1577316 1698648 1779536 1840202 2103088 2335641 2669304 2760303 2891746 3114188 3154632 3397296 3680404 4337619 4671282 5338608 5520606 5783492 6228376 6309264 7360808 8675238 9342564 10121111 11041212 11566984 12456752 14721616 17350476 18685128 20242222 22082424 23133968 30363333 34700952 37370256 40484444 44164848 60726666 69401904 80968888 121453332 161937776 242906664 485813328