Search a number
-
+
985533696 = 2833720369
BaseRepresentation
bin111010101111100…
…000110100000000
32112200110022002000
4322233200310000
54004244034241
6241443224000
733264620040
oct7257406400
92480408060
10985533696
11466343064
12236078000
13129243744
1494c63720
155b7c4eb6
hex3abe0d00

985533696 has 144 divisors (see below), whose sum is σ = 3330902400. Its totient is φ = 281567232.

The previous prime is 985533649. The next prime is 985533701. The reversal of 985533696 is 696335589.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38200 + ... + 58568.

Almost surely, 2985533696 is an apocalyptic number.

985533696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665451200).

985533696 is an abundant number, since it is smaller than the sum of its proper divisors (2345368704).

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

985533696 is a wasteful number, since it uses less digits than its factorization.

985533696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401 (or 20381 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The square root of 985533696 is about 31393.2109858167. The cubic root of 985533696 is about 995.1544573060.

The spelling of 985533696 in words is "nine hundred eighty-five million, five hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 20369 24192 40738 48384 61107 81476 122214 142583 162952 183321 244428 285166 325904 366642 427749 488856 549963 570332 651808 733284 855498 977712 1099926 1140664 1283247 1303616 1466568 1710996 1955424 2199852 2281328 2566494 2607232 2933136 3421992 3849741 3910848 4399704 4562656 5132988 5214464 5866272 6843984 7699482 7821696 8799408 9125312 10265976 11732544 13687968 15398964 15643392 17598816 18250624 20531952 23465088 27375936 30797928 35197632 36501248 41063904 46930176 54751872 61595856 70395264 82127808 109503744 123191712 140790528 164255616 246383424 328511232 492766848 985533696