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3962992 = 241122389
BaseRepresentation
bin1111000111100001110000
321110100012111
433013201300
52003303432
6220535104
745453625
oct17074160
97410174
103962992
112267500
1213b1494
13a89a87
1475234c
15534347
hex3c7870

3962992 has 60 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1703680.

The previous prime is 3962977. The next prime is 3963013. The reversal of 3962992 is 2992693.

3962992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44484 + ... + 44572.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

Almost surely, 23962992 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 3962992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

3962992 is an abundant number, since it is smaller than the sum of its proper divisors (4942688).

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

3962992 is a wasteful number, since it uses less digits than its factorization.

3962992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 52488, while the sum is 40.

The square root of 3962992 is about 1990.7265005520. The cubic root of 3962992 is about 158.2490331179.

Subtracting from 3962992 its reverse (2992693), we obtain a cube (970299 = 993).

The spelling of 3962992 in words is "three million, nine hundred sixty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 89 92 121 176 178 184 242 253 356 368 484 506 712 968 979 1012 1424 1936 1958 2024 2047 2783 3916 4048 4094 5566 7832 8188 10769 11132 15664 16376 21538 22264 22517 32752 43076 44528 45034 86152 90068 172304 180136 247687 360272 495374 990748 1981496 3962992