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89063640 = 233251929449
BaseRepresentation
bin1010100111100…
…00000011011000
320012120220100100
411103300003120
5140300014030
612500535400
72131012521
oct523600330
9205526310
1089063640
1146301916
12259b1560
13155b49a3
14bb85848
157c44360
hex54f00d8

89063640 has 192 divisors, whose sum is σ = 315900000. Its totient is φ = 21676032.

The previous prime is 89063633. The next prime is 89063641. The reversal of 89063640 is 4636098.

89063640 is a `hidden beast` number, since 8 + 9 + 0 + 6 + 3 + 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 = 89063595 and 89063604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89063641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198136 + ... + 198584.

Almost surely, 289063640 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 89063640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157950000).

89063640 is an abundant number, since it is smaller than the sum of its proper divisors (226836360).

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

89063640 is a wasteful number, since it uses less digits than its factorization.

89063640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 89063640 is about 9437.3534425706. The cubic root of 89063640 is about 446.5809023226.

The spelling of 89063640 in words is "eighty-nine million, sixty-three thousand, six hundred forty".