Base | Representation |
---|---|
bin | 1010100000001… |
… | …00011000100000 |
3 | 20010202212012100 |
4 | 11100010120200 |
5 | 140023121321 |
6 | 12424130400 |
7 | 2116552314 |
oct | 520043040 |
9 | 203685170 |
10 | 88098336 |
11 | 45802647 |
12 | 25606a00 |
13 | 153374c1 |
14 | b9b3b44 |
15 | 7b03326 |
hex | 5404620 |
88098336 has 72 divisors (see below), whose sum is σ = 252333900. Its totient is φ = 29154816.
The previous prime is 88098323. The next prime is 88098337. The reversal of 88098336 is 63389088.
It can be written as a sum of positive squares in 2 ways, for example, as 84272400 + 3825936 = 9180^2 + 1956^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×880983362 = 15522633611937792, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 88098291 and 88098300.
It is not an unprimeable number, because it can be changed into a prime (88098337) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41886 + ... + 43938.
Almost surely, 288098336 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 88098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126166950).
88098336 is an abundant number, since it is smaller than the sum of its proper divisors (164235564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
88098336 is a wasteful number, since it uses less digits than its factorization.
88098336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2218 (or 2207 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 88098336 is about 9386.0713826393. The cubic root of 88098336 is about 444.9616362164.
The spelling of 88098336 in words is "eighty-eight million, ninety-eight thousand, three hundred thirty-six".
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