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3982900 = 225239829
BaseRepresentation
bin1111001100011000110100
321111100111211
433030120310
52004423100
6221211204
745565645
oct17143064
97440454
103982900
112280459
121400b04
13a95b5c
147596cc
1553a1ba
hex3cc634

3982900 has 18 divisors (see below), whose sum is σ = 8643110. Its totient is φ = 1593120.

The previous prime is 3982883. The next prime is 3982903. The reversal of 3982900 is 92893.

It is a happy number.

3982900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 976144 + 3006756 = 988^2 + 1734^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19815 + ... + 20014.

Almost surely, 23982900 is an apocalyptic number.

It is an amenable number.

3982900 is an abundant number, since it is smaller than the sum of its proper divisors (4660210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3982900 is a wasteful number, since it uses less digits than its factorization.

3982900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39843 (or 39836 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 3982900 is about 1995.7204213015. The cubic root of 3982900 is about 158.5135774375.

The spelling of 3982900 in words is "three million, nine hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 39829 79658 159316 199145 398290 796580 995725 1991450 3982900