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282485664 = 2533326951
BaseRepresentation
bin10000110101100…
…110001110100000
3201200112202111000
4100311212032200
51034304020124
644010352000
710000042236
oct2065461640
9650482430
10282485664
1113550172a
127a72b600
13466a7ba6
1429734956
1519bee6c9
hex10d663a0

282485664 has 48 divisors (see below), whose sum is σ = 823919040. Its totient is φ = 94161600.

The previous prime is 282485659. The next prime is 282485689. The reversal of 282485664 is 466584282.

282485664 is a `hidden beast` number, since 2 + 82 + 4 + 8 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162612 + ... + 164339.

It is an arithmetic number, because the mean of its divisors is an integer number (17164980).

Almost surely, 2282485664 is an apocalyptic number.

282485664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

282485664 is an abundant number, since it is smaller than the sum of its proper divisors (541433376).

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

282485664 is a wasteful number, since it uses less digits than its factorization.

282485664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326970 (or 326956 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 282485664 is about 16807.3098382817. The cubic root of 282485664 is about 656.1434596024.

It can be divided in two parts, 2824 and 85664, that added together give a palindrome (88488).

The spelling of 282485664 in words is "two hundred eighty-two million, four hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 326951 653902 980853 1307804 1961706 2615608 2942559 3923412 5231216 5885118 7846824 8827677 10462432 11770236 15693648 17655354 23540472 31387296 35310708 47080944 70621416 94161888 141242832 282485664