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3966032 = 247172083
BaseRepresentation
bin1111001000010001010000
321110111101002
433020101100
52003403112
6221001132
745465530
oct17102120
97414332
103966032
112269814
1213b31a8
13a8b285
147534c0
155351c2
hex3c8450

3966032 has 40 divisors (see below), whose sum is σ = 9302976. Its totient is φ = 1598976.

The previous prime is 3966029. The next prime is 3966059. The reversal of 3966032 is 2306693.

It is a junction number, because it is equal to n+sod(n) for n = 3965986 and 3966004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 863 + ... + 2945.

Almost surely, 23966032 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 3966032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651488).

3966032 is an abundant number, since it is smaller than the sum of its proper divisors (5336944).

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

3966032 is a wasteful number, since it uses less digits than its factorization.

3966032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 3966032 is about 1991.4898945262. The cubic root of 3966032 is about 158.2894869048.

The spelling of 3966032 in words is "three million, nine hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2083 4166 8332 14581 16664 29162 33328 35411 58324 70822 116648 141644 233296 247877 283288 495754 566576 991508 1983016 3966032