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89016576 = 2831141257
BaseRepresentation
bin1010100111001…
…00100100000000
320012111111210020
411103210210000
5140242012301
612455533440
72130425355
oct523444400
9205444706
1089016576
114627a520
122598a280
131559943c
14bb7262c
157c35436
hex54e4900

89016576 has 144 divisors (see below), whose sum is σ = 265785408. Its totient is φ = 26214400.

The previous prime is 89016559. The next prime is 89016581. The reversal of 89016576 is 67561098.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346240 + ... + 346496.

It is an arithmetic number, because the mean of its divisors is an integer number (1845732).

Almost surely, 289016576 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 89016576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132892704).

89016576 is an abundant number, since it is smaller than the sum of its proper divisors (176768832).

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

89016576 is a wasteful number, since it uses less digits than its factorization.

89016576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 89016576 is about 9434.8596173976. The cubic root of 89016576 is about 446.5022260456.

The spelling of 89016576 in words is "eighty-nine million, sixteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 257 264 328 352 384 451 492 514 528 656 704 768 771 902 984 1028 1056 1312 1353 1408 1542 1804 1968 2056 2112 2624 2706 2816 2827 3084 3608 3936 4112 4224 5248 5412 5654 6168 7216 7872 8224 8448 8481 10496 10537 10824 11308 12336 14432 15744 16448 16962 21074 21648 22616 24672 28864 31488 31611 32896 33924 42148 43296 45232 49344 57728 63222 65792 67848 84296 86592 90464 98688 115456 115907 126444 135696 168592 173184 180928 197376 231814 252888 271392 337184 346368 347721 361856 463628 505776 542784 674368 695442 723712 927256 1011552 1085568 1348736 1390884 1854512 2023104 2171136 2697472 2781768 3709024 4046208 5563536 7418048 8092416 11127072 14836096 22254144 29672192 44508288 89016576