| Base | Representation |
|---|---|
| bin | 1010101010010… |
| … | …10101010110000 |
| 3 | 20020021202111000 |
| 4 | 11111022222300 |
| 5 | 140343403200 |
| 6 | 12512522000 |
| 7 | 2134116600 |
| oct | 525125260 |
| 9 | 206252430 |
| 10 | 89434800 |
| 11 | 46535764 |
| 12 | 25b50300 |
| 13 | 156b4900 |
| 14 | bc40c00 |
| 15 | 7cb9300 |
| hex | 554aab0 |
89434800 has 540 divisors, whose sum is σ = 400967640. Its totient is φ = 18869760.
The previous prime is 89434799. The next prime is 89434801. The reversal of 89434800 is 843498.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (89434799) and next prime (89434801).
It is a tau number, because it is divible by the number of its divisors (540).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (89434801) by changing a digit.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6879594 + ... + 6879606.
Almost surely, 289434800 is an apocalyptic number.
89434800 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 89434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200483820).
89434800 is an abundant number, since it is smaller than the sum of its proper divisors (311532840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
89434800 is a wasteful number, since it uses less digits than its factorization.
89434800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67 (or 30 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 89434800 is about 9456.9974093261. The cubic root of 89434800 is about 447.2003966104.
Multiplying 89434800 by its product of nonzero digits (27648), we get a square (2472693350400 = 15724802).
The spelling of 89434800 in words is "eighty-nine million, four hundred thirty-four thousand, eight hundred".
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