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89335680 = 2735717223
BaseRepresentation
bin1010101001100…
…10011110000000
320020002201111220
411110302132000
5140332220210
612510435040
72133224610
oct524623600
9206081456
1089335680
1146478245
1225b02a80
131567b765
14bc16a40
157c99c70
hex5532780

89335680 has 384 divisors, whose sum is σ = 360737280. Its totient is φ = 18382848.

The previous prime is 89335651. The next prime is 89335681. The reversal of 89335680 is 8653398.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 578 × 322 × 480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89335681) 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, 3884149 + ... + 3884171.

It is an arithmetic number, because the mean of its divisors is an integer number (939420).

Almost surely, 289335680 is an apocalyptic number.

89335680 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 89335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180368640).

89335680 is an abundant number, since it is smaller than the sum of its proper divisors (271401600).

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

89335680 is a wasteful number, since it uses less digits than its factorization.

89335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 89335680 is about 9451.7553925184. The cubic root of 89335680 is about 447.0351257875.

The spelling of 89335680 in words is "eighty-nine million, three hundred thirty-five thousand, six hundred eighty".