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985705812 = 22327131931559
BaseRepresentation
bin111010110000001…
…010110101010100
32112200210001011200
4322300022311110
54004320041222
6241451032500
733266234610
oct7260126524
92480701150
10985705812
11466450403
1223613b730
131292a3ba0
1494caa340
155b80aeac
hex3ac0ad54

985705812 has 144 divisors (see below), whose sum is σ = 3084506880. Its totient is φ = 258453504.

The previous prime is 985705793. The next prime is 985705829. The reversal of 985705812 is 218507589.

It is a happy number.

It is a congruent number.

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, 631489 + ... + 633047.

Almost surely, 2985705812 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 985705812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542253440).

985705812 is an abundant number, since it is smaller than the sum of its proper divisors (2098801068).

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

985705812 is a wasteful number, since it uses less digits than its factorization.

985705812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 985705812 is about 31395.9521594743. The cubic root of 985705812 is about 995.2123859982.

The spelling of 985705812 in words is "nine hundred eighty-five million, seven hundred five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 193 234 252 273 364 386 468 546 579 772 819 1092 1158 1351 1559 1638 1737 2316 2509 2702 3118 3276 3474 4053 4677 5018 5404 6236 6948 7527 8106 9354 10036 10913 12159 14031 15054 16212 17563 18708 20267 21826 22581 24318 28062 30108 32739 35126 40534 43652 45162 48636 52689 56124 60801 65478 70252 81068 90324 98217 105378 121602 130956 141869 158067 182403 196434 210756 243204 283738 300887 316134 364806 392868 425607 567476 601774 632268 729612 851214 902661 1203548 1276821 1702428 1805322 2106209 2553642 2707983 3610644 3911531 4212418 5107284 5415966 6318627 7823062 8424836 10831932 11734593 12637254 15646124 18955881 23469186 25274508 27380717 35203779 37911762 46938372 54761434 70407558 75823524 82142151 109522868 140815116 164284302 246426453 328568604 492852906 985705812