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3982032 = 243227653
BaseRepresentation
bin1111001100001011010000
321111022022200
433030023100
52004411112
6221203200
745563265
oct17141320
97438280
103982032
11227a83a
121400500
13a95642
1475926c
15539cdc
hex3cc2d0

3982032 has 30 divisors (see below), whose sum is σ = 11144562. Its totient is φ = 1327296.

The previous prime is 3982031. The next prime is 3982037. The reversal of 3982032 is 2302893.

It can be written as a sum of positive squares in only one way, i.e., 2143296 + 1838736 = 1464^2 + 1356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3981987 and 3982005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13683 + ... + 13970.

Almost surely, 23982032 is an apocalyptic number.

It is an amenable number.

3982032 is an abundant number, since it is smaller than the sum of its proper divisors (7162530).

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

3982032 is a wasteful number, since it uses less digits than its factorization.

3982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27667 (or 27658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3982032 is about 1995.5029441221. The cubic root of 3982032 is about 158.5020615587.

The spelling of 3982032 in words is "three million, nine hundred eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27653 55306 82959 110612 165918 221224 248877 331836 442448 497754 663672 995508 1327344 1991016 3982032