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89740224 = 263472473
BaseRepresentation
bin1010101100101…
…01001111000000
320020212021110000
411112111033000
5140433141344
612523240000
72136531210
oct526251700
9206767400
1089740224
1146724182
1226079000
1315790932
14bcc0240
157d29a69
hex55953c0

89740224 has 140 divisors (see below), whose sum is σ = 304143664. Its totient is φ = 25629696.

The previous prime is 89740219. The next prime is 89740241. The reversal of 89740224 is 42204798.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35052 + ... + 37524.

Almost surely, 289740224 is an apocalyptic number.

89740224 is a gapful number since it is divisible by the number (84) 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 89740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152071832).

89740224 is an abundant number, since it is smaller than the sum of its proper divisors (214403440).

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

89740224 is a wasteful number, since it uses less digits than its factorization.

89740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 89740224 is about 9473.1316891512. The cubic root of 89740224 is about 447.7088882566.

The spelling of 89740224 in words is "eighty-nine million, seven hundred forty thousand, two hundred twenty-four".

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 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2473 2592 3024 4032 4536 4946 5184 6048 7419 9072 9892 12096 14838 17311 18144 19784 22257 29676 34622 36288 39568 44514 51933 59352 66771 69244 79136 89028 103866 118704 133542 138488 155799 158272 178056 200313 207732 237408 267084 276976 311598 356112 400626 415464 467397 474816 534168 553952 623196 712224 801252 830928 934794 1068336 1107904 1246392 1402191 1424448 1602504 1661856 1869588 2136672 2492784 2804382 3205008 3323712 3739176 4273344 4985568 5608764 6410016 7478352 9971136 11217528 12820032 14956704 22435056 29913408 44870112 89740224