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89441640 = 23325594211
BaseRepresentation
bin1010101010011…
…00010101101000
320020022002212100
411111030111220
5140344113030
612513013400
72134145541
oct525142550
9206262770
1089441640
114653a912
1225b54260
13156b7a62
14bc434c8
157cbb360
hex554c568

89441640 has 96 divisors (see below), whose sum is σ = 295682400. Its totient is φ = 23441280.

The previous prime is 89441609. The next prime is 89441689. The reversal of 89441640 is 4614498.

It is a happy number.

89441640 is a `hidden beast` number, since 8 + 9 + 4 + 4 + 1 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 89441595 and 89441604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19135 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (3080025).

Almost surely, 289441640 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 89441640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147841200).

89441640 is an abundant number, since it is smaller than the sum of its proper divisors (206240760).

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

89441640 is a wasteful number, since it uses less digits than its factorization.

89441640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89441640 is about 9457.3590393936. The cubic root of 89441640 is about 447.2117969927.

The spelling of 89441640 in words is "eighty-nine million, four hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1416 1770 2124 2360 2655 3540 4211 4248 5310 7080 8422 10620 12633 16844 21055 21240 25266 33688 37899 42110 50532 63165 75798 84220 101064 126330 151596 168440 189495 248449 252660 303192 378990 496898 505320 745347 757980 993796 1242245 1490694 1515960 1987592 2236041 2484490 2981388 3726735 4472082 4968980 5962776 7453470 8944164 9937960 11180205 14906940 17888328 22360410 29813880 44720820 89441640