Search a number
-
+
285999456 = 2539730713
BaseRepresentation
bin10001000011000…
…000000101100000
3201221011021111110
4101003000011200
51041203440311
644213543320
710041645441
oct2103000540
9657137443
10285999456
11137491696
127b944b40
1347338362
1429dab2c8
151a1958a6
hex110c0160

285999456 has 48 divisors (see below), whose sum is σ = 758512944. Its totient is φ = 94347264.

The previous prime is 285999443. The next prime is 285999481. The reversal of 285999456 is 654999582.

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

It is a junction number, because it is equal to n+sod(n) for n = 285999396 and 285999405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6045 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (15802353).

Almost surely, 2285999456 is an apocalyptic number.

It is an amenable number.

285999456 is an abundant number, since it is smaller than the sum of its proper divisors (472513488).

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

285999456 is a wasteful number, since it uses less digits than its factorization.

285999456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30823 (or 30815 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 57.

The square root of 285999456 is about 16911.5184415829. The cubic root of 285999456 is about 658.8528097181.

The spelling of 285999456 in words is "two hundred eighty-five million, nine hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 30713 61426 92139 122852 184278 245704 368556 491408 737112 982816 1474224 2948448 2979161 5958322 8937483 11916644 17874966 23833288 35749932 47666576 71499864 95333152 142999728 285999456