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1085289282 = 2327111746061
BaseRepresentation
bin100000010110000…
…0011001101000010
32210122011102000100
41000230003031002
54210313224112
6255405303230
735615543460
oct10054031502
92718142010
101085289282
115076879a0
12263564b16
13143accc0c
14a41cd830
156542c2dc
hex40b03342

1085289282 has 96 divisors (see below), whose sum is σ = 3104210304. Its totient is φ = 265305600.

The previous prime is 1085289263. The next prime is 1085289319. The reversal of 1085289282 is 2829825801.

1085289282 is a `hidden beast` number, since 10 + 85 + 289 + 282 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532 + ... + 46592.

It is an arithmetic number, because the mean of its divisors is an integer number (32335524).

Almost surely, 21085289282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085289282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552105152).

1085289282 is an abundant number, since it is smaller than the sum of its proper divisors (2018921022).

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

1085289282 is a wasteful number, since it uses less digits than its factorization.

1085289282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46104 (or 46101 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1085289282 is about 32943.7290238977. The cubic root of 1085289282 is about 1027.6577568705.

The spelling of 1085289282 in words is "one billion, eighty-five million, two hundred eighty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2618 3366 3927 7854 11781 23562 46061 92122 138183 276366 322427 414549 506671 644854 783037 829098 967281 1013342 1520013 1566074 1934562 2349111 2901843 3040026 3546697 4560039 4698222 5481259 5803686 7047333 7093394 8613407 9120078 10640091 10962518 14094666 16443777 17226814 21280182 25840221 31920273 32887554 49331331 51680442 60293849 63840546 77520663 98662662 120587698 155041326 180881547 361763094 542644641 1085289282