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1085464688 = 247111751827
BaseRepresentation
bin100000010110010…
…1110000001110000
32210122111022121212
41000230232001300
54210334332223
6255413135252
735620204040
oct10054560160
92718438555
101085464688
11507797760
1226362a528
13143b619c9
14a4237720
1565464278
hex40b2e070

1085464688 has 80 divisors (see below), whose sum is σ = 2776322304. Its totient is φ = 398023680.

The previous prime is 1085464673. The next prime is 1085464711. The reversal of 1085464688 is 8864645801.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4970 + ... + 46857.

Almost surely, 21085464688 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 1085464688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388161152).

1085464688 is an abundant number, since it is smaller than the sum of its proper divisors (1690857616).

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

1085464688 is a wasteful number, since it uses less digits than its factorization.

1085464688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51870 (or 51864 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 50.

The square root of 1085464688 is about 32946.3911225494. The cubic root of 1085464688 is about 1027.7131177251.

The spelling of 1085464688 in words is "one billion, eighty-five million, four hundred sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 20944 51827 103654 207308 362789 414616 570097 725578 829232 881059 1140194 1451156 1762118 2280388 2902312 3524236 3990679 4560776 5804624 6167413 7048472 7981358 9121552 9691649 12334826 14096944 15962716 19383298 24669652 31925432 38766596 49339304 63850864 67841543 77533192 98678608 135683086 155066384 271366172 542732344 1085464688