Base | Representation |
---|---|
bin | 111101000111101000000 |
3 | 10202202021000 |
4 | 13220331000 |
5 | 1003042002 |
6 | 110532000 |
7 | 23010633 |
oct | 7507500 |
9 | 3682230 |
10 | 2002752 |
11 | 1148774 |
12 | 807000 |
13 | 55177b |
14 | 3a1c1a |
15 | 29861c |
hex | 1e8f40 |
2002752 has 112 divisors (see below), whose sum is σ = 6299200. Its totient is φ = 622080.
The previous prime is 2002747. The next prime is 2002783. The reversal of 2002752 is 2572002.
It is a happy number.
It is a super-2 number, since 2×20027522 = 8022031147008, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32802 + ... + 32862.
22002752 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 2002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149600).
2002752 is an abundant number, since it is smaller than the sum of its proper divisors (4296448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002752 is a wasteful number, since it uses less digits than its factorization.
2002752 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 101 (or 85 counting only the distinct ones).
The product of its (nonzero) digits is 280, while the sum is 18.
The square root of 2002752 is about 1415.1862068293. The cubic root of 2002752 is about 126.0498668829.
Adding to 2002752 its reverse (2572002), we get a palindrome (4574754).
The spelling of 2002752 in words is "two million, two thousand, seven hundred fifty-two".
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