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89731944 = 233241113269
BaseRepresentation
bin1010101100100…
…11001101101000
320020211212002100
411112103031220
5140432410234
612523133400
72136465111
oct526231550
9206755070
1089731944
1146718a35
1226074260
1315789c33
14bcbb208
157d27399
hex5593368

89731944 has 96 divisors (see below), whose sum is σ = 252088200. Its totient is φ = 28815360.

The previous prime is 89731931. The next prime is 89731951. The reversal of 89731944 is 44913798.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 81540900 = 2862^2 + 9030^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89731944.

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 23 ways as a sum of consecutive naturals, for example, 333442 + ... + 333710.

Almost surely, 289731944 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 89731944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100).

89731944 is an abundant number, since it is smaller than the sum of its proper divisors (162356256).

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

89731944 is a wasteful number, since it uses less digits than its factorization.

89731944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 89731944 is about 9472.6946535819. The cubic root of 89731944 is about 447.6951183497.

The spelling of 89731944 in words is "eighty-nine million, seven hundred thirty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 113 123 164 226 246 269 328 339 369 452 492 538 678 738 807 904 984 1017 1076 1356 1476 1614 2034 2152 2421 2712 2952 3228 4068 4633 4842 6456 8136 9266 9684 11029 13899 18532 19368 22058 27798 30397 33087 37064 41697 44116 55596 60794 66174 83394 88232 91191 99261 111192 121588 132348 166788 182382 198522 243176 264696 273573 333576 364764 397044 547146 729528 794088 1094292 1246277 2188584 2492554 3738831 4985108 7477662 9970216 11216493 14955324 22432986 29910648 44865972 89731944