Base | Representation |
---|---|
bin | 101111101100000… |
… | …100110100000000 |
3 | 2001202111102211010 |
4 | 233230010310000 |
5 | 3114310130300 |
6 | 211220320520 |
7 | 25553411040 |
oct | 5754046400 |
9 | 2052442733 |
10 | 800083200 |
11 | 380698394 |
12 | 1a3b43140 |
13 | c99b1a17 |
14 | 7838b720 |
15 | 4a391a50 |
hex | 2fb04d00 |
800083200 has 216 divisors, whose sum is σ = 3018154048. Its totient is φ = 182845440.
The previous prime is 800083187. The next prime is 800083201. The reversal of 800083200 is 2380008.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (800083201) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131424 + ... + 137376.
Almost surely, 2800083200 is an apocalyptic number.
800083200 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 800083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509077024).
800083200 is an abundant number, since it is smaller than the sum of its proper divisors (2218070848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
800083200 is a wasteful number, since it uses less digits than its factorization.
800083200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5989 (or 5970 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 800083200 is about 28285.7419913284. The cubic root of 800083200 is about 928.3499472896.
The spelling of 800083200 in words is "eight hundred million, eighty-three thousand, two hundred".
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