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89628378 = 23723314173
BaseRepresentation
bin1010101011110…
…01111011011010
320020122121000120
411111321323122
5140421102003
612521014110
72135554140
oct525717332
9206577016
1089628378
1146658144
1226024336
1315751a58
14bc91590
157d06853
hex5579eda

89628378 has 128 divisors (see below), whose sum is σ = 229146624. Its totient is φ = 22809600.

The previous prime is 89628361. The next prime is 89628397. The reversal of 89628378 is 87382698.

It is a super-2 number, since 2×896283782 = 16066492285821768, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 89628378.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1227750 + ... + 1227822.

It is an arithmetic number, because the mean of its divisors is an integer number (1790208).

Almost surely, 289628378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89628378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114573312).

89628378 is an abundant number, since it is smaller than the sum of its proper divisors (139518246).

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

89628378 is a wasteful number, since it uses less digits than its factorization.

89628378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 1161216, while the sum is 51.

The square root of 89628378 is about 9467.2265210039. The cubic root of 89628378 is about 447.5228131478.

The spelling of 89628378 in words is "eighty-nine million, six hundred twenty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 23 31 41 42 46 62 69 73 82 93 123 138 146 161 186 217 219 246 287 322 434 438 483 511 574 651 713 861 943 966 1022 1271 1302 1426 1533 1679 1722 1886 2139 2263 2542 2829 2993 3066 3358 3813 4278 4526 4991 5037 5658 5986 6601 6789 7626 8897 8979 9982 10074 11753 13202 13578 14973 15841 17794 17958 19803 20951 23506 26691 29233 29946 31682 35259 39606 41902 47523 52049 53382 58466 62853 68839 70518 87699 92783 95046 104098 125706 137678 156147 175398 185566 204631 206517 278349 312294 364343 409262 413034 481873 556698 613893 649481 728686 963746 1093029 1227786 1298962 1445619 1948443 2134009 2186058 2891238 3896886 4268018 6402027 12804054 14938063 29876126 44814189 89628378