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89818080 = 25351117011
BaseRepresentation
bin1010101101010…
…00001111100000
320021000020020120
411112220033200
5140443134310
612525040240
72140304202
oct526501740
9207006216
1089818080
1146777720
12260b6080
13157ba1c1
14bd00772
157d42b70
hex55a83e0

89818080 has 96 divisors (see below), whose sum is σ = 308665728. Its totient is φ = 21772800.

The previous prime is 89818061. The next prime is 89818087. The reversal of 89818080 is 8081898.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89818087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (3215268).

Almost surely, 289818080 is an apocalyptic number.

89818080 is a gapful number since it is divisible by the number (80) 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 89818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154332864).

89818080 is an abundant number, since it is smaller than the sum of its proper divisors (218847648).

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

89818080 is a wasteful number, since it uses less digits than its factorization.

89818080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 89818080 is about 9477.2401045874. The cubic root of 89818080 is about 447.8383238886.

The spelling of 89818080 in words is "eighty-nine million, eight hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 17011 34022 51033 68044 85055 102066 136088 170110 187121 204132 255165 272176 340220 374242 408264 510330 544352 561363 680440 748484 816528 935605 1020660 1122726 1360880 1496968 1633056 1871210 2041320 2245452 2721760 2806815 2993936 3742420 4082640 4490904 5613630 5987872 7484840 8165280 8981808 11227260 14969680 17963616 22454520 29939360 44909040 89818080