Base | Representation |
---|---|
bin | 111010111011101… |
… | …100111011100000 |
3 | 2112220110122021200 |
4 | 322323230323200 |
5 | 4011103312211 |
6 | 242035521200 |
7 | 33334026000 |
oct | 7273547340 |
9 | 2486418250 |
10 | 988729056 |
11 | 468125857 |
12 | 237159200 |
13 | 129ac1ca3 |
14 | 95456000 |
15 | 5bc06b56 |
hex | 3aeecee0 |
988729056 has 144 divisors (see below), whose sum is σ = 3279276000. Its totient is φ = 282465792.
The previous prime is 988728997. The next prime is 988729067. The reversal of 988729056 is 650927889.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×9887290562 = 1955170292357302272, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 988728993 and 988729011.
It is a congruent number.
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, 93780 + ... + 103788.
It is an arithmetic number, because the mean of its divisors is an integer number (22772750).
Almost surely, 2988729056 is an apocalyptic number.
988729056 is a gapful number since it is divisible by the number (96) 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 988729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639638000).
988729056 is an abundant number, since it is smaller than the sum of its proper divisors (2290546944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
988729056 is a wasteful number, since it uses less digits than its factorization.
988729056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10046 (or 10021 counting only the distinct ones).
The product of its (nonzero) digits is 2177280, while the sum is 54.
The square root of 988729056 is about 31444.0623329747. The cubic root of 988729056 is about 996.2288147059.
The spelling of 988729056 in words is "nine hundred eighty-eight million, seven hundred twenty-nine thousand, fifty-six".
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