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3982545 = 325747269
BaseRepresentation
bin1111001100010011010001
321111100000200
433030103101
52004420140
6221205413
745564630
oct17142321
97440020
103982545
112280166
121400869
13a95948
14759517
1553a030
hex3cc4d1

3982545 has 48 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 1775232.

The previous prime is 3982513. The next prime is 3982549. The reversal of 3982545 is 5452893.

3982545 is a `hidden beast` number, since 39 + 82 + 545 = 666.

3982545 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3982545 - 25 = 3982513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3982549) 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 47 ways as a sum of consecutive naturals, for example, 14671 + ... + 14939.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 23982545 is an apocalyptic number.

3982545 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3982545 is an abundant number, since it is smaller than the sum of its proper divisors (4104495).

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

3982545 is a wasteful number, since it uses less digits than its factorization.

3982545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 331 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3982545 is about 1995.6314790061. The cubic root of 3982545 is about 158.5088678045.

The spelling of 3982545 in words is "three million, nine hundred eighty-two thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 105 141 235 269 315 329 423 705 807 987 1345 1645 1883 2115 2421 2961 4035 4935 5649 9415 12105 12643 14805 16947 28245 37929 63215 84735 88501 113787 189645 265503 442505 568935 796509 1327515 3982545