Base | Representation |
---|---|
bin | 11000000101001… |
… | …00111000111110 |
3 | 112002002202121220 |
4 | 30002210320332 |
5 | 403203030412 |
6 | 32013334210 |
7 | 5001663030 |
oct | 1402447076 |
9 | 462082556 |
10 | 202001982 |
11 | a4030096 |
12 | 57797366 |
13 | 32b08600 |
14 | 1cb83c50 |
15 | 12b0268c |
hex | c0a4e3e |
202001982 has 96 divisors (see below), whose sum is σ = 505958400. Its totient is φ = 52640640.
The previous prime is 202001959. The next prime is 202001999. The reversal of 202001982 is 289100202.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057507 + ... + 1057697.
It is an arithmetic number, because the mean of its divisors is an integer number (5270400).
Almost surely, 2202001982 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202001982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252979200).
202001982 is an abundant number, since it is smaller than the sum of its proper divisors (303956418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202001982 is a wasteful number, since it uses less digits than its factorization.
202001982 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 378 (or 365 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 24.
The square root of 202001982 is about 14212.7401298975. The cubic root of 202001982 is about 586.7483498667.
It can be divided in two parts, 20 and 2001982, that added together give a palindrome (2002002).
The spelling of 202001982 in words is "two hundred two million, one thousand, nine hundred eighty-two".
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